Theorems · Theorem · linear algebra

exteriorPower.basis_repr_apply

∀ (R : Type u_1) {M : Type u_3} (n : ℕ) [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
  {I : Type u_5} [inst_3 : LinearOrder I] (b : Module.Basis I R M) (x : ↥(⋀[R]^n M)) (s : ↑(Set.powersetCard I n)),
  ((Module.Basis.exteriorPower n b).repr x) s = (exteriorPower.ιMultiDual R n b s) x

Defined in

Mathlib.LinearAlgebra.ExteriorPower.Basis

Cited by

2 results in Mathlib

Foundations

Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleLinearOrder