Theorems · Theorem · commutative algebra

TensorProduct.map_bijective

∀ {R : Type u_1} [inst : CommSemiring R] {M : Type u_7} {N : Type u_8} {P : Type u_9} {Q : Type u_10}
  [inst_1 : AddCommMonoid M] [inst_2 : AddCommMonoid N] [inst_3 : AddCommMonoid P] [inst_4 : AddCommMonoid Q]
  [inst_5 : Module R M] [inst_6 : Module R N] [inst_7 : Module R P] [inst_8 : Module R Q] {f : M →ₗ[R] N}
  {g : P →ₗ[R] Q}, Function.Bijective ⇑f → Function.Bijective ⇑g → Function.Bijective ⇑(TensorProduct.map f g)

Defined in

Mathlib.LinearAlgebra.TensorProduct.Map

Cited by

1 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidAddCommMonoidAddCommMonoidAddCommMonoidModuleModuleModuleModule