Theorems · Theorem · functional analysis
LinearMap.normDet_id
∀ {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], LinearMap.id.normDet = 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 248 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- FiniteDimensionalstatement and proof · cited by 1,854
- LinearMap.idstatement · cited by 625
- LinearMap.normDetstatement · cited by 27
- LinearIsometry.idproof · cited by 12
- LinearIsometry.normDet_eq_oneproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- LinearMap.normDet_comp_of_finrank_eqproof · cited by 1