Theorems · Theorem · commutative algebra

TensorProduct.add_tmul

∀ {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] (m₁ m₂ : M) (n : N),
  (m₁ + m₂) ⊗ₜ[R] n = m₁ ⊗ₜ[R] n + m₂ ⊗ₜ[R] n

Defined in

Mathlib.LinearAlgebra.TensorProduct.Defs

Cited by

21 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidAddCommMonoidModuleModule