Theorems · Theorem · linear algebra

Equiv.vanishesTrivially_comp

∀ {R : Type u_1} [inst : CommRing R] {M : Type u_2} [inst_1 : AddCommGroup M] [inst_2 : Module R M] {N : Type u_3}
  [inst_3 : AddCommGroup N] [inst_4 : Module R N] {ι : Type u_4} [inst_5 : Fintype ι] {m : ι → M} {n : ι → N}
  {κ : Type u_5} [inst_6 : Fintype κ] (e : κ ≃ ι),
  TensorProduct.VanishesTrivially R (m ∘ ⇑e) (n ∘ ⇑e) ↔ TensorProduct.VanishesTrivially R m n

Defined in

Mathlib.LinearAlgebra.TensorProduct.Vanishing

Cited by

2 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModuleFintypeFintype