Documentation
Mathlib
.
Algebra
.
Order
.
Group
.
WithTop
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Imports
Init
Mathlib.Algebra.Order.Group.Defs
Mathlib.Algebra.Order.Monoid.WithTop
Imported by
WithTop
.
linearOrderedAddCommGroupWithTop
WithTop
.
coe_neg
Adjoining a top element to a
LinearOrderedAddCommGroupWithTop
.
#
source
instance
WithTop
.
linearOrderedAddCommGroupWithTop
{α :
Type
u_1}
[
LinearOrderedAddCommGroup
α
]
:
LinearOrderedAddCommGroupWithTop
(
WithTop
α
)
Equations
One or more equations did not get rendered due to their size.
source
@[simp]
theorem
WithTop
.
coe_neg
{α :
Type
u_1}
[
LinearOrderedAddCommGroup
α
]
(a :
α
)
:
↑
(
-
a
)
=
-
↑
a