Theorems · Theorem · functional analysis
ContinuousLinearMap.continuous_det
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {E : Type v} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] [CompleteSpace 𝕜], Continuous fun f => f.det- Cited by
- 4 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- Finsetproof · cited by 13,712
- NormedSpacestatement and proof · cited by 12,499
- LinearMapproof · cited by 10,215
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement and proof · cited by 5,352
- MonoidHomproof · cited by 3,629
- Continuousstatement and proof · cited by 2,592
- CompleteSpacestatement and proof · cited by 2,532
- FiniteDimensionalproof · cited by 1,854
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.aemeasurable_toNNReal_abs_det_fderivWithinproof · cited by 2
- MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_image_aux1proof · cited by 1
- MeasureTheory.aemeasurable_ofReal_abs_det_fderivWithinproof · cited by 1
- MeasureTheory.addHaar_image_le_lintegral_abs_det_fderiv_aux1proof · cited by 1