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Mathlib
.
Data
.
Finite
.
Sigma
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Imports
Init
Mathlib.Data.Fintype.Card
Mathlib.Data.Fintype.Sigma
Imported by
Finite
.
instSigma
Finite
.
instPSigma
Finiteness of sigma types
#
source
theorem
Finite
.
instSigma
{α :
Type
u_1}
{β :
α
→
Type
u_2
}
[
Finite
α
]
[
∀ (
a
:
α
),
Finite
(
β
a
)
]
:
Finite
((
a
:
α
) ×
β
a
)
source
theorem
Finite
.
instPSigma
{ι :
Sort
u_2}
{π :
ι
→
Sort
u_3
}
[
Finite
ι
]
[
∀ (
i
:
ι
),
Finite
(
π
i
)
]
:
Finite
((
i
:
ι
) ×'
π
i
)