Theorems · Theorem · linear algebra

rTensor_mkQ

∀ {R : Type u_1} {M : Type u_2} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] (Q : Type u_5)
  [inst_3 : AddCommGroup Q] [inst_4 : Module R Q] (N : Submodule R M),
  (LinearMap.rTensor Q N.mkQ).ker = (LinearMap.rTensor Q N.subtype).range

Right-exactness of tensor product (rTensor)

Defined in

Mathlib.LinearAlgebra.TensorProduct.RightExactness

Cited by

1 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModule