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LeanAPAP
.
Mathlib
.
Data
.
Fintype
.
Pi
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Imports
Init
Mathlib.Data.Fintype.BigOperators
Imported by
Fintype
.
piFinsetConst
Fintype
.
«term_^^_»
Finset
.
Nonempty
.
piFinsetConst
Fintype
.
card_piFinsetConst
source
@[reducible]
def
Fintype
.
piFinsetConst
{α :
Type
u_1}
(s :
Finset
α
)
(n :
ℕ
)
:
Finset
(
Fin
n
→
α
)
Equations
s
^^
n
=
Fintype.piFinset
fun (
x
:
Fin
n
) =>
s
Instances For
source
def
Fintype
.
«term_^^_»
:
Lean.TrailingParserDescr
Equations
Fintype.«term_^^_»
=
Lean.ParserDescr.trailingNode
`Fintype.term_^^_
70
70
(
Lean.ParserDescr.binary
`andthen
(
Lean.ParserDescr.symbol
"^^"
)
(
Lean.ParserDescr.cat
`term
71
)
)
Instances For
source
theorem
Finset
.
Nonempty
.
piFinsetConst
{α :
Type
u_1}
{s :
Finset
α
}
{n :
ℕ
}
(hs :
s
.Nonempty
)
:
(
s
^^
n
)
.Nonempty
source
@[simp]
theorem
Fintype
.
card_piFinsetConst
{α :
Type
u_1}
(s :
Finset
α
)
(n :
ℕ
)
:
(
s
^^
n
)
.card
=
s
.card
^
n