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Mathlib
.
Logic
.
Equiv
.
Pairwise
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Imports
Init
Mathlib.Logic.Pairwise
Mathlib.Data.FunLike.Equiv
Imported by
EmbeddingLike
.
pairwise_comp
EquivLike
.
pairwise_comp_iff
Interaction of equivalences with
Pairwise
#
source
theorem
EmbeddingLike
.
pairwise_comp
{X :
Type
u_1}
{Y :
Type
u_2}
{F :
Sort
u_3}
[
FunLike
F
Y
X
]
[
EmbeddingLike
F
Y
X
]
(f :
F
)
{p :
X
→
X
→
Prop
}
(h :
Pairwise
p
)
:
Pairwise
(
p
on
⇑
f
)
source
theorem
EquivLike
.
pairwise_comp_iff
{X :
Type
u_1}
{Y :
Type
u_2}
{F :
Sort
u_3}
[
EquivLike
F
Y
X
]
(f :
F
)
(p :
X
→
X
→
Prop
)
:
Pairwise
(
p
on
⇑
f
)
↔
Pairwise
p