Documentation

Lean.Util.Recognizers

@[inline]

def Lean.Expr.const? (e : Lean.Expr) :

Option (Lake.Name × List Lean.Level)

Equations

Lean.Expr.const? e = match e with | Lean.Expr.const n us => some (n, us) | x => none

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@[inline]

def Lean.Expr.app1? (e : Lean.Expr) (fName : Lake.Name) :

Option Lean.Expr

Equations

Lean.Expr.app1? e fName = if Lean.Expr.isAppOfArity e fName 1 = true then some (Lean.Expr.appArg! e) else none

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@[inline]

def Lean.Expr.app2? (e : Lean.Expr) (fName : Lake.Name) :

Option (Lean.Expr × Lean.Expr)

Equations

Lean.Expr.app2? e fName = if Lean.Expr.isAppOfArity e fName 2 = true then some (Lean.Expr.appArg! (Lean.Expr.appFn! e), Lean.Expr.appArg! e) else none

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@[inline]

def Lean.Expr.app3? (e : Lean.Expr) (fName : Lake.Name) :

Option (Lean.Expr × Lean.Expr × Lean.Expr)

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@[inline]

def Lean.Expr.app4? (e : Lean.Expr) (fName : Lake.Name) :

Option (Lean.Expr × Lean.Expr × Lean.Expr × Lean.Expr)

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@[inline]

def Lean.Expr.eq? (p : Lean.Expr) :

Option (Lean.Expr × Lean.Expr × Lean.Expr)

Equations

Lean.Expr.eq? p = Lean.Expr.app3? p `Eq

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@[inline]

def Lean.Expr.ne? (p : Lean.Expr) :

Option (Lean.Expr × Lean.Expr × Lean.Expr)

Equations

Lean.Expr.ne? p = Lean.Expr.app3? p `Ne

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@[inline]

def Lean.Expr.iff? (p : Lean.Expr) :

Option (Lean.Expr × Lean.Expr)

Equations

Lean.Expr.iff? p = Lean.Expr.app2? p `Iff

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@[inline]

def Lean.Expr.eqOrIff? (p : Lean.Expr) :

Option (Lean.Expr × Lean.Expr)

Equations

Lean.Expr.eqOrIff? p = match Lean.Expr.app3? p `Eq with | some (fst, lhs, rhs) => some (lhs, rhs) | x => Lean.Expr.iff? p

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@[inline]

def Lean.Expr.not? (p : Lean.Expr) :

Option Lean.Expr

Equations

Lean.Expr.not? p = Lean.Expr.app1? p `Not

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@[inline]

def Lean.Expr.notNot? (p : Lean.Expr) :

Option Lean.Expr

Equations

Lean.Expr.notNot? p = match Lean.Expr.not? p with | some p => Lean.Expr.not? p | none => none

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@[inline]

def Lean.Expr.and? (p : Lean.Expr) :

Option (Lean.Expr × Lean.Expr)

Equations

Lean.Expr.and? p = Lean.Expr.app2? p `And

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@[inline]

def Lean.Expr.heq? (p : Lean.Expr) :

Option (Lean.Expr × Lean.Expr × Lean.Expr × Lean.Expr)

Equations

Lean.Expr.heq? p = Lean.Expr.app4? p `HEq

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def Lean.Expr.natAdd? (e : Lean.Expr) :

Option (Lean.Expr × Lean.Expr)

Equations

Lean.Expr.natAdd? e = Lean.Expr.app2? e `Nat.add

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@[inline]

def Lean.Expr.arrow? :

Lean.Expr → Option (Lean.Expr × Lean.Expr)

Equations

Lean.Expr.arrow? x = match x with | Lean.Expr.forallE binderName α β binderInfo => if Lean.Expr.hasLooseBVars β = true then none else some (α, β) | x => none

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def Lean.Expr.isEq (e : Lean.Expr) :

Equations

Lean.Expr.isEq e = Lean.Expr.isAppOfArity e `Eq 3

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def Lean.Expr.isHEq (e : Lean.Expr) :

Equations

Lean.Expr.isHEq e = Lean.Expr.isAppOfArity e `HEq 4

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def Lean.Expr.isIte (e : Lean.Expr) :

Equations

Lean.Expr.isIte e = Lean.Expr.isAppOfArity e `ite 5

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def Lean.Expr.isDIte (e : Lean.Expr) :

Equations

Lean.Expr.isDIte e = Lean.Expr.isAppOfArity e `dite 5

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def Lean.Expr.listLit? (e : Lean.Expr) :

Option (Lean.Expr × List Lean.Expr)

Equations

Lean.Expr.listLit? e = Lean.Expr.listLit?.loop e []

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partial def Lean.Expr.listLit?.loop (e : Lean.Expr) (acc : List Lean.Expr) :

Option (Lean.Expr × List Lean.Expr)

def Lean.Expr.arrayLit? (e : Lean.Expr) :

Option (Lean.Expr × List Lean.Expr)

Equations

Lean.Expr.arrayLit? e = if Lean.Expr.isAppOfArity' e `List.toArray 2 = true then Lean.Expr.listLit? (Lean.Expr.appArg!' e) else none

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def Lean.Expr.prod? (e : Lean.Expr) :

Option (Lean.Expr × Lean.Expr)

Recognize α × β

Equations

Lean.Expr.prod? e = Lean.Expr.app2? e `Prod

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def Lean.Expr.isConstructorApp? (env : Lean.Environment) (e : Lean.Expr) :

Option Lean.ConstructorVal

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def Lean.Expr.isConstructorApp (env : Lean.Environment) (e : Lean.Expr) :

Equations

Lean.Expr.isConstructorApp env e = Option.isSome (Lean.Expr.isConstructorApp? env e)

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def Lean.Expr.constructorApp? (env : Lean.Environment) (e : Lean.Expr) (useRaw : optParam Bool false) :

Option (Lean.ConstructorVal × Array Lean.Expr)

If e is a constructor application, return a pair containing the corresponding ConstructorVal and the constructor application arguments. This function treats numerals as constructors. For example, if e is the numeral 2, the result pair is ConstructorVal for Nat.succ, and the array #[1]. The parameter useRaw controls how the resulting numeral is represented. If useRaw := false, then mkNatLit is used, otherwise mkRawNatLit. Recall that mkNatLit uses the OfNat.ofNat application which is the canonical way of representing numerals in the elaborator and tactic framework. We useRaw := false in the compiler (aka code generator).

Remark: This function does not treat (ofNat 0 : Nat) applications as constructors.

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