Documentation

Lean.Parser.Command

Syntax quotation for terms.

Equations
  • One or more equations did not get rendered due to their size.
Instances For
    Equations
    • One or more equations did not get rendered due to their size.
    Instances For

      Syntax quotation for (sequences of) commands. The identical syntax for term quotations takes priority, so ambiguous quotations like `($x $y) will be parsed as an application, not two commands. Use `($x:command $y:command) instead. Multiple commands will be put in a `null node, but a single command will not (so that you can directly match against a quotation in a command kind's elaborator).

      Equations
      • One or more equations did not get rendered due to their size.
      Instances For
        Equations
        • One or more equations did not get rendered due to their size.
        Instances For
          Equations
          • One or more equations did not get rendered due to their size.
          Instances For
            Equations
            • One or more equations did not get rendered due to their size.
            Instances For
              Equations
              • One or more equations did not get rendered due to their size.
              Instances For
                Equations
                • One or more equations did not get rendered due to their size.
                Instances For
                  Equations
                  • One or more equations did not get rendered due to their size.
                  Instances For
                    Equations
                    • One or more equations did not get rendered due to their size.
                    Instances For
                      Equations
                      • One or more equations did not get rendered due to their size.
                      Instances For

                        declModifiers is the collection of modifiers on a declaration:

                        All modifiers are optional, and have to come in the listed order.

                        nestedDeclModifiers is the same as declModifiers, but attributes are printed on the same line as the declaration. It is used for declarations nested inside other syntax, such as inductive constructors, structure projections, and let rec / where definitions.

                        Equations
                        • One or more equations did not get rendered due to their size.
                        Instances For

                          declId matches foo or foo.{u,v}: an identifier possibly followed by a list of universe names

                          Equations
                          • One or more equations did not get rendered due to their size.
                          Instances For

                            declSig matches the signature of a declaration with required type: a list of binders and then : type

                            Equations
                            • One or more equations did not get rendered due to their size.
                            Instances For

                              optDeclSig matches the signature of a declaration with optional type: a list of binders and then possibly : type

                              Equations
                              • One or more equations did not get rendered due to their size.
                              Instances For
                                Equations
                                • One or more equations did not get rendered due to their size.
                                Instances For
                                  Equations
                                  • One or more equations did not get rendered due to their size.
                                  Instances For
                                    Equations
                                    • One or more equations did not get rendered due to their size.
                                    Instances For
                                      Equations
                                      • One or more equations did not get rendered due to their size.
                                      Instances For

                                        declVal matches the right-hand side of a declaration, one of:

                                        • := expr (a "simple declaration")
                                        • a sequence of | pat => expr (a declaration by equations), shorthand for a match
                                        • where and then a sequence of field := value initializers, shorthand for a structure constructor
                                        Equations
                                        • One or more equations did not get rendered due to their size.
                                        Instances For
                                          Equations
                                          • One or more equations did not get rendered due to their size.
                                          Instances For
                                            Equations
                                            • One or more equations did not get rendered due to their size.
                                            Instances For
                                              Equations
                                              • One or more equations did not get rendered due to their size.
                                              Instances For
                                                Equations
                                                • One or more equations did not get rendered due to their size.
                                                Instances For
                                                  Equations
                                                  • One or more equations did not get rendered due to their size.
                                                  Instances For
                                                    Equations
                                                    • One or more equations did not get rendered due to their size.
                                                    Instances For
                                                      Equations
                                                      • One or more equations did not get rendered due to their size.
                                                      Instances For
                                                        Equations
                                                        • One or more equations did not get rendered due to their size.
                                                        Instances For
                                                          Equations
                                                          • One or more equations did not get rendered due to their size.
                                                          Instances For
                                                            Equations
                                                            • One or more equations did not get rendered due to their size.
                                                            Instances For
                                                              Equations
                                                              • One or more equations did not get rendered due to their size.
                                                              Instances For
                                                                Equations
                                                                • One or more equations did not get rendered due to their size.
                                                                Instances For
                                                                  Equations
                                                                  • One or more equations did not get rendered due to their size.
                                                                  Instances For

                                                                    In Lean, every concrete type other than the universes and every type constructor other than dependent arrows is an instance of a general family of type constructions known as inductive types. It is remarkable that it is possible to construct a substantial edifice of mathematics based on nothing more than the type universes, dependent arrow types, and inductive types; everything else follows from those. Intuitively, an inductive type is built up from a specified list of constructor. For example, List α is the list of elements of type α, and is defined as follows:

                                                                    inductive List (α : Type u) where
                                                                    | nil
                                                                    | cons (head : α) (tail : List α)
                                                                    

                                                                    A list of elements of type α is either the empty list, nil, or an element head : α followed by a list tail : List α. For more information about inductive types.

                                                                    Equations
                                                                    • One or more equations did not get rendered due to their size.
                                                                    Instances For
                                                                      Equations
                                                                      • One or more equations did not get rendered due to their size.
                                                                      Instances For
                                                                        Equations
                                                                        • One or more equations did not get rendered due to their size.
                                                                        Instances For
                                                                          Equations
                                                                          • One or more equations did not get rendered due to their size.
                                                                          Instances For
                                                                            Equations
                                                                            • One or more equations did not get rendered due to their size.
                                                                            Instances For
                                                                              Equations
                                                                              • One or more equations did not get rendered due to their size.
                                                                              Instances For
                                                                                Equations
                                                                                • One or more equations did not get rendered due to their size.
                                                                                Instances For
                                                                                  Equations
                                                                                  • One or more equations did not get rendered due to their size.
                                                                                  Instances For
                                                                                    Equations
                                                                                    • One or more equations did not get rendered due to their size.
                                                                                    Instances For
                                                                                      Equations
                                                                                      • One or more equations did not get rendered due to their size.
                                                                                      Instances For
                                                                                        Equations
                                                                                        • One or more equations did not get rendered due to their size.
                                                                                        Instances For
                                                                                          Equations
                                                                                          • One or more equations did not get rendered due to their size.
                                                                                          Instances For
                                                                                            Equations
                                                                                            • One or more equations did not get rendered due to their size.
                                                                                            Instances For
                                                                                              Equations
                                                                                              • One or more equations did not get rendered due to their size.
                                                                                              Instances For
                                                                                                Equations
                                                                                                • One or more equations did not get rendered due to their size.
                                                                                                Instances For
                                                                                                  Equations
                                                                                                  • One or more equations did not get rendered due to their size.
                                                                                                  Instances For
                                                                                                    Equations
                                                                                                    • One or more equations did not get rendered due to their size.
                                                                                                    Instances For
                                                                                                      Equations
                                                                                                      • One or more equations did not get rendered due to their size.
                                                                                                      Instances For
                                                                                                        Equations
                                                                                                        • One or more equations did not get rendered due to their size.
                                                                                                        Instances For
                                                                                                          Equations
                                                                                                          • One or more equations did not get rendered due to their size.
                                                                                                          Instances For
                                                                                                            Equations
                                                                                                            • One or more equations did not get rendered due to their size.
                                                                                                            Instances For
                                                                                                              Equations
                                                                                                              • One or more equations did not get rendered due to their size.
                                                                                                              Instances For
                                                                                                                Equations
                                                                                                                • One or more equations did not get rendered due to their size.
                                                                                                                Instances For
                                                                                                                  Equations
                                                                                                                  • One or more equations did not get rendered due to their size.
                                                                                                                  Instances For
                                                                                                                    Equations
                                                                                                                    • One or more equations did not get rendered due to their size.
                                                                                                                    Instances For
                                                                                                                      Equations
                                                                                                                      • One or more equations did not get rendered due to their size.
                                                                                                                      Instances For
                                                                                                                        Equations
                                                                                                                        • One or more equations did not get rendered due to their size.
                                                                                                                        Instances For
                                                                                                                          Equations
                                                                                                                          • One or more equations did not get rendered due to their size.
                                                                                                                          Instances For
                                                                                                                            Equations
                                                                                                                            • One or more equations did not get rendered due to their size.
                                                                                                                            Instances For
                                                                                                                              Equations
                                                                                                                              • One or more equations did not get rendered due to their size.
                                                                                                                              Instances For
                                                                                                                                Equations
                                                                                                                                • One or more equations did not get rendered due to their size.
                                                                                                                                Instances For
                                                                                                                                  Equations
                                                                                                                                  • One or more equations did not get rendered due to their size.
                                                                                                                                  Instances For
                                                                                                                                    Equations
                                                                                                                                    • One or more equations did not get rendered due to their size.
                                                                                                                                    Instances For
                                                                                                                                      Equations
                                                                                                                                      • One or more equations did not get rendered due to their size.
                                                                                                                                      Instances For
                                                                                                                                        Equations
                                                                                                                                        • One or more equations did not get rendered due to their size.
                                                                                                                                        Instances For
                                                                                                                                          Equations
                                                                                                                                          • One or more equations did not get rendered due to their size.
                                                                                                                                          Instances For
                                                                                                                                            Equations
                                                                                                                                            • One or more equations did not get rendered due to their size.
                                                                                                                                            Instances For
                                                                                                                                              Equations
                                                                                                                                              • One or more equations did not get rendered due to their size.
                                                                                                                                              Instances For
                                                                                                                                                Equations
                                                                                                                                                • One or more equations did not get rendered due to their size.
                                                                                                                                                Instances For
                                                                                                                                                  Equations
                                                                                                                                                  • One or more equations did not get rendered due to their size.
                                                                                                                                                  Instances For
                                                                                                                                                    Equations
                                                                                                                                                    • One or more equations did not get rendered due to their size.
                                                                                                                                                    Instances For

                                                                                                                                                      openDecl is the body of an open declaration (see open)

                                                                                                                                                      Equations
                                                                                                                                                      • One or more equations did not get rendered due to their size.
                                                                                                                                                      Instances For
                                                                                                                                                        Equations
                                                                                                                                                        • One or more equations did not get rendered due to their size.
                                                                                                                                                        Instances For
                                                                                                                                                          Equations
                                                                                                                                                          • One or more equations did not get rendered due to their size.
                                                                                                                                                          Instances For
                                                                                                                                                            Equations
                                                                                                                                                            • One or more equations did not get rendered due to their size.
                                                                                                                                                            Instances For
                                                                                                                                                              Equations
                                                                                                                                                              • One or more equations did not get rendered due to their size.
                                                                                                                                                              Instances For
                                                                                                                                                                Equations
                                                                                                                                                                • One or more equations did not get rendered due to their size.
                                                                                                                                                                Instances For
                                                                                                                                                                  Equations
                                                                                                                                                                  • One or more equations did not get rendered due to their size.
                                                                                                                                                                  Instances For

                                                                                                                                                                    This is an auxiliary command for generation constructor injectivity theorems for inductive types defined at Prelude.lean. It is meant for bootstrapping purposes only.

                                                                                                                                                                    Equations
                                                                                                                                                                    • One or more equations did not get rendered due to their size.
                                                                                                                                                                    Instances For

                                                                                                                                                                      No-op parser used as syntax kind for attaching remaining whitespace to at the end of the input.

                                                                                                                                                                      Equations
                                                                                                                                                                      • One or more equations did not get rendered due to their size.
                                                                                                                                                                      Instances For
                                                                                                                                                                        @[inline, reducible]

                                                                                                                                                                        declModifiers is the collection of modifiers on a declaration:

                                                                                                                                                                        All modifiers are optional, and have to come in the listed order.

                                                                                                                                                                        nestedDeclModifiers is the same as declModifiers, but attributes are printed on the same line as the declaration. It is used for declarations nested inside other syntax, such as inductive constructors, structure projections, and let rec / where definitions.

                                                                                                                                                                        Equations
                                                                                                                                                                        Instances For
                                                                                                                                                                          @[inline, reducible]

                                                                                                                                                                          declModifiers is the collection of modifiers on a declaration:

                                                                                                                                                                          All modifiers are optional, and have to come in the listed order.

                                                                                                                                                                          nestedDeclModifiers is the same as declModifiers, but attributes are printed on the same line as the declaration. It is used for declarations nested inside other syntax, such as inductive constructors, structure projections, and let rec / where definitions.

                                                                                                                                                                          Equations
                                                                                                                                                                          Instances For

                                                                                                                                                                            open Foo in e is like open Foo but scoped to a single term. It makes the given namespaces available in the term e.

                                                                                                                                                                            Equations
                                                                                                                                                                            • One or more equations did not get rendered due to their size.
                                                                                                                                                                            Instances For

                                                                                                                                                                              set_option opt val in e is like set_option opt val but scoped to a single term. It sets the option opt to the value val in the term e.

                                                                                                                                                                              Equations
                                                                                                                                                                              • One or more equations did not get rendered due to their size.
                                                                                                                                                                              Instances For

                                                                                                                                                                                open Foo in tacs (the tactic) acts like open Foo at command level, but it opens a namespace only within the tactics tacs.

                                                                                                                                                                                Equations
                                                                                                                                                                                • One or more equations did not get rendered due to their size.
                                                                                                                                                                                Instances For

                                                                                                                                                                                  set_option opt val in tacs (the tactic) acts like set_option opt val at the command level, but it sets the option only within the tactics tacs.

                                                                                                                                                                                  Equations
                                                                                                                                                                                  • One or more equations did not get rendered due to their size.
                                                                                                                                                                                  Instances For