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.
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Imports
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Mathlib.Algebra.Order.Group.Defs
Mathlib.Algebra.Order.Monoid.OrderDual
Imported by
OrderDual
.
orderedCommGroup
OrderDual
.
orderedAddCommGroup
OrderDual
.
linearOrderedCommGroup
OrderDual
.
linearOrderedAddCommGroup
Additional instances for ordered commutative groups.
#
source
instance
OrderDual
.
orderedCommGroup
{α :
Type
u_1}
[
OrderedCommGroup
α
]
:
OrderedCommGroup
α
ᵒᵈ
Equations
OrderDual.orderedCommGroup
=
OrderedCommGroup.mk
⋯
source
instance
OrderDual
.
orderedAddCommGroup
{α :
Type
u_1}
[
OrderedAddCommGroup
α
]
:
OrderedAddCommGroup
α
ᵒᵈ
Equations
OrderDual.orderedAddCommGroup
=
OrderedAddCommGroup.mk
⋯
source
instance
OrderDual
.
linearOrderedCommGroup
{α :
Type
u_1}
[
LinearOrderedCommGroup
α
]
:
LinearOrderedCommGroup
α
ᵒᵈ
Equations
OrderDual.linearOrderedCommGroup
=
LinearOrderedCommGroup.mk
⋯
LinearOrder.decidableLE
LinearOrder.decidableEq
LinearOrder.decidableLT
⋯
⋯
⋯
source
instance
OrderDual
.
linearOrderedAddCommGroup
{α :
Type
u_1}
[
LinearOrderedAddCommGroup
α
]
:
LinearOrderedAddCommGroup
α
ᵒᵈ
Equations
OrderDual.linearOrderedAddCommGroup
=
LinearOrderedAddCommGroup.mk
⋯
LinearOrder.decidableLE
LinearOrder.decidableEq
LinearOrder.decidableLT
⋯
⋯
⋯