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Mathlib
.
Logic
.
Function
.
ULift
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Imports
Init
Mathlib.Logic.Function.Defs
Imported by
ULift
.
down_injective
ULift
.
down_inj
PLift
.
down_injective
PLift
.
down_inj
ULift
and
PLift
#
source
theorem
ULift
.
down_injective
{α :
Type
u_1}
:
Function.Injective
ULift.down
source
@[simp]
theorem
ULift
.
down_inj
{α :
Type
u_1}
{a :
ULift.{u_2, u_1}
α
}
{b :
ULift.{u_2, u_1}
α
}
:
a
.down
=
b
.down
↔
a
=
b
source
theorem
PLift
.
down_injective
{α :
Sort
u_1}
:
Function.Injective
PLift.down
source
@[simp]
theorem
PLift
.
down_inj
{α :
Sort
u_1}
{a :
PLift
α
}
{b :
PLift
α
}
:
a
.down
=
b
.down
↔
a
=
b