Documentation
Mathlib
.
Data
.
Fintype
.
Shrink
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Imports
Init
Mathlib.Data.Countable.Small
Mathlib.Data.Fintype.Card
Imported by
Shrink
.
instFintype
Shrink
.
instFinite
Fintype
.
card_shrink
Fintype instance for
Shrink
#
source
noncomputable instance
Shrink
.
instFintype
{α :
Type
u}
[
Fintype
α
]
:
Fintype
(
Shrink.{v, u}
α
)
Equations
Shrink.instFintype
=
Fintype.ofEquiv
α
(
equivShrink
α
)
source
instance
Shrink
.
instFinite
{α :
Type
u}
[
Finite
α
]
:
Finite
(
Shrink.{v, u}
α
)
Equations
⋯
=
⋯
source
@[simp]
theorem
Fintype
.
card_shrink
{α :
Type
u}
[
Fintype
α
]
[
Fintype
(
Shrink.{v, u}
α
)
]
:
Fintype.card
(
Shrink.{v, u}
α
)
=
Fintype.card
α