Theorems · Theorem · linear algebra

dualTensorHom_bijective_of_comp_eq_id_right

∀ {R : Type u_2} {M : Type u_3} {N : Type u_4} {P : Type u_5} [inst : CommSemiring R] [inst_1 : AddCommMonoid M]
  [inst_2 : AddCommMonoid N] [inst_3 : AddCommMonoid P] [inst_4 : Module R M] [inst_5 : Module R N]
  [inst_6 : Module R P] (f : N →ₗ[R] P) (g : P →ₗ[R] N),
  g ∘ₗ f = LinearMap.id → Function.Bijective ⇑(dualTensorHom R M P) → Function.Bijective ⇑(dualTensorHom R M N)

Defined in

Mathlib.LinearAlgebra.Contraction

Cited by

3 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidAddCommMonoidAddCommMonoidModuleModuleModule