Theorems · Theorem · linear algebra

TensorProduct.quotientTensorEquiv_symm_apply_mk_tmul

∀ {R : Type u_1} {M : Type u_2} {N : Type u_3} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
  [inst_3 : AddCommGroup N] [inst_4 : Module R N] (m : Submodule R M) (x : M) (y : N),
  (TensorProduct.quotientTensorEquiv N m).symm (Submodule.Quotient.mk (x ⊗ₜ[R] y)) = Submodule.Quotient.mk x ⊗ₜ[R] y

Defined in

Mathlib.LinearAlgebra.TensorProduct.Quotient

Cited by

0 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModule