Theorems · Theorem · linear algebra

ExteriorAlgebra.hom_ext

∀ {R : Type u1} [inst : CommRing R] {M : Type u2} [inst_1 : AddCommGroup M] [inst_2 : Module R M] {A : Type u_1}
  [inst_3 : Semiring A] [inst_4 : Algebra R A] {f g : ExteriorAlgebra R M →ₐ[R] A},
  f.toLinearMap ∘ₗ ExteriorAlgebra.ι R = g.toLinearMap ∘ₗ ExteriorAlgebra.ι R → f = g

See note [partially-applied ext lemmas].

Defined in

Mathlib.LinearAlgebra.ExteriorAlgebra.Basic

Cited by

2 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleSemiringAlgebra