Theorems · Theorem · linear algebra
ExteriorAlgebra.basis_eq_coe_basis
∀ {R : Type u_1} {M : Type u_2} {m : ℕ} {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 : ↑(Set.powersetCard I m)),
b.ExteriorAlgebra ↑s = ↑((Module.Basis.exteriorPower m b) s)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- 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 and proof · cited by 7,166
- Module.Basisstatement and proof · cited by 1,477
- QuadraticFormstatement · cited by 507
- ExteriorAlgebrastatement and proof · cited by 131
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