Theorems · Theorem · linear algebra

ExteriorAlgebra.basis_apply

∀ {R : Type u_1} {M : Type u_2} {I : Type u_3} [inst : LinearOrder I] [inst_1 : CommRing R] [inst_2 : AddCommGroup M]
  [inst_3 : Module R M] (b : Module.Basis I R M) (s : Finset I),
  b.ExteriorAlgebra s = ExteriorAlgebra.ιMulti_family R s.card (⇑b) (Set.powersetCard.prodEquiv.symm s).snd

Defined in

Mathlib.LinearAlgebra.ExteriorAlgebra.Basis

Cited by

1 results in Mathlib

Foundations

Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderCommRingAddCommGroupModule