Theorems · Theorem · ring theory
Algebra.TensorProduct.toLinearEquiv_tensorTensorTensorComm
∀ {R : Type uR} {A : Type uA} {B : Type uB} {C : Type uC} {D : Type uD} [inst : CommSemiring R] [inst_1 : Semiring A]
[inst_2 : Algebra R A] [inst_3 : Semiring B] [inst_4 : Algebra R B] [inst_5 : Semiring C] [inst_6 : Algebra R C]
[inst_7 : Semiring D] [inst_8 : Algebra R D],
↑(Algebra.TensorProduct.tensorTensorTensorComm R R R R A B C D) = TensorProduct.tensorTensorTensorComm R A B C D- Defined in
- Mathlib.RingTheory.TensorProduct.Maps
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearEquivstatement · cited by 3,317
- TensorProductstatement · cited by 2,545
- AlgEquiv.toLinearEquivstatement · cited by 117
- TensorProduct.tensorTensorTensorCommstatement · cited by 15
- Algebra.TensorProduct.tensorTensorTensorCommstatement · cited by 8
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