Theorems · Theorem · linear algebra

ExteriorAlgebra.lift_unique

∀ (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 : M →ₗ[R] A) (cond : ∀ (m : M), f m * f m = 0)
  (g : ExteriorAlgebra R M →ₐ[R] A), g.toLinearMap ∘ₗ ExteriorAlgebra.ι R = f ↔ g = (ExteriorAlgebra.lift R) ⟨f, cond⟩

Defined in

Mathlib.LinearAlgebra.ExteriorAlgebra.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommRingAddCommGroupModuleSemiringAlgebra