Mathlib Map

Theorems · Theorem · commutative algebra

TensorProduct.map_mul

∀ {R : Type u_1} [inst : CommSemiring R] {M : Type u_7} {N : Type u_8} [inst_1 : AddCommMonoid M]
  [inst_2 : AddCommMonoid N] [inst_3 : Module R M] [inst_4 : Module R N] (f₁ f₂ : M →ₗ[R] M) (g₁ g₂ : N →ₗ[R] N),
  TensorProduct.map (f₁ * f₂) (g₁ * g₂) = TensorProduct.map f₁ g₁ * TensorProduct.map f₂ g₂
Defined in
Mathlib.LinearAlgebra.TensorProduct.Map
Cited by
1 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringAddCommMonoidAddCommMonoidModuleModule
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Around this declaration

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TensorProduct.map_pow · cited by 3TensorProduct.map_powModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idAddCommMonoid · cited by 12281AddCommMonoidCommSemiring · cited by 10911CommSemiringLinearMap · cited by 10215LinearMapTensorProduct · cited by 2545TensorProductTensorProduct.map · cited by 250TensorProduct.mapTensorProduct.map_comp · cited by 13TensorProduct.map_compTensorProduct.map_mulCITED BYCITES

Cites8

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Cited by1

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