Theorems · Theorem · functional analysis
LinearMap.normDet_subtype
∀ {𝕜 : Type u_1} {U : Type u_2} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup U] [inst_2 : InnerProductSpace 𝕜 U]
[inst_3 : FiniteDimensional 𝕜 U] (p : Submodule 𝕜 U), p.subtype.normDet = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 248 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Submodulestatement and proof · cited by 7,192
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- FiniteDimensionalstatement and proof · cited by 1,854
- Submodule.subtypestatement · cited by 480
- Submodule.subtypeₗᵢproof · cited by 42
- LinearMap.normDetstatement · cited by 27
- LinearIsometry.normDet_eq_oneproof · cited by 4
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