Theorems · Theorem · linear algebra
exteriorPower.coe_basis
∀ (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),
⇑(Module.Basis.exteriorPower n b) = exteriorPower.ιMulti_family R n ⇑b- Cited by
- 3 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- Finsetstatement · cited by 13,712
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- Submodulestatement · cited by 7,192
- Set.Elemstatement · cited by 7,166
- Module.Basisstatement and proof · cited by 1,477
- QuadraticFormstatement · cited by 507
- ExteriorAlgebrastatement · cited by 131
- Set.powersetCardstatement · cited by 100
Cited by3
Results whose statement or proof uses this declaration.
- exteriorPower.basis_applyproof · cited by 2
- ExteriorAlgebra.basis_applyproof · cited by 1
- exteriorPower.ιMulti_family_linearIndependent_fieldproof · cited by 0