Theorems · Theorem · functional analysis
LinearMap.normDet_eq_abs_det
∀ {U : Type u_5} [inst : NormedAddCommGroup U] [inst_1 : InnerProductSpace ℝ U] [inst_2 : FiniteDimensional ℝ U]
(f : U →ₗ[ℝ] U), f.normDet = |LinearMap.det f|- 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- LinearMapstatement and proof · cited by 10,215
- MonoidHomstatement · cited by 3,629
- InnerProductSpacestatement and proof · cited by 3,523
- FiniteDimensionalstatement and proof · cited by 1,854
- absstatement · cited by 1,814
- LinearMap.detstatement · cited by 127
- LinearMap.normDetstatement · cited by 27
- LinearMap.normDet_eq_norm_detproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- LinearMap.hausdorffMeasure_imageproof · cited by 1