Theorems · Theorem · functional analysis
ContinuousLinearMap.det_toSpanSingleton
∀ {𝕜 : Type u_1} [inst : CommRing 𝕜] [inst_1 : TopologicalSpace 𝕜] [inst_2 : ContinuousMul 𝕜] (v : 𝕜),
(ContinuousLinearMap.toSpanSingleton 𝕜 v).det = v- Cited by
- 6 results in Mathlib
- Foundations
- Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- ContinuousLinearMapproof · cited by 5,352
- one_mulproof · cited by 2,841
- ContinuousMulstatement and proof · cited by 343
- ContinuousLinearMap.idproof · cited by 233
- ContinuousLinearMap.toSpanSingletonstatement · cited by 133
- ContinuousLinearMap.detstatement and proof · cited by 44
- ContinuousLinearMap.det_smulRightproof · cited by 1
- ContinuousLinearMap.smulRight_idproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- MeasureTheory.integral_image_eq_integral_abs_deriv_smulproof · cited by 5
- MeasureTheory.integrableOn_image_iff_integrableOn_abs_deriv_smulproof · cited by 4
- MeasureTheory.lintegral_image_eq_lintegral_abs_deriv_mulproof · cited by 1