Theorems · Theorem · functional analysis
OrthonormalBasis.toBasis_exteriorPower
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : InnerProductSpace ℝ E] [inst_2 : FiniteDimensional ℝ E]
{I : Type u_2} [inst_3 : Fintype I] [inst_4 : LinearOrder I] (b : OrthonormalBasis I ℝ E) (n : ℕ),
(b.exteriorPower n).toBasis = Module.Basis.exteriorPower n b.toBasis- Cited by
- 0 results in Mathlib
- Foundations
- Depth 247 from the axioms · uses propext, Classical.choice, Quot.sound
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- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Finsetstatement · cited by 13,712
- LinearOrderstatement and proof · cited by 8,572
- Fintypestatement and proof · cited by 7,736
- Submodulestatement · cited by 7,192
- Set.Elemstatement · cited by 7,166
- InnerProductSpacestatement and proof · cited by 3,523
- FiniteDimensionalstatement and proof · cited by 1,854
- Module.Basisstatement · cited by 1,477
- QuadraticFormstatement · cited by 507
- OrthonormalBasisstatement and proof · cited by 188
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