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Imports
Init
Mathlib.RingTheory.TensorProduct.Basic
Imported by
TensorProduct
.
prod_tmul_prod
source
theorem
TensorProduct
.
prod_tmul_prod
(R :
Type
u_1)
[
CommRing
R
]
(A :
Type
u_2)
(B :
Type
u_3)
[
CommRing
A
]
[
CommRing
B
]
[
Algebra
R
A
]
[
Algebra
R
B
]
{ι :
Type
u_4}
(s :
Finset
ι
)
(a :
ι
→
A
)
(b :
ι
→
B
)
:
(∏
i
∈
s
,
a
i
)
⊗ₜ[
R
]
∏
i
∈
s
,
b
i
=
∏
i
∈
s
,
a
i
⊗ₜ[
R
]
b
i