Theorems · Theorem · linear algebra

ExteriorAlgebra.liftAlternating_one

∀ {R : Type u_1} {M : Type u_2} {N : Type u_3} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : AddCommGroup N]
  [inst_3 : Module R M] [inst_4 : Module R N] (f : (i : ℕ) → M [⋀^Fin i]→ₗ[R] N),
  (ExteriorAlgebra.liftAlternating f) 1 = (f 0) 0

Defined in

Mathlib.LinearAlgebra.ExteriorAlgebra.OfAlternating

Cited by

2 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupAddCommGroupModuleModule