Theorems · Theorem · real analysis
ContinuousLinearEquiv.contDiff
∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {n : WithTop ℕ∞}
(f : E ≃L[𝕜] F), ContDiff 𝕜 n ⇑f- Defined in
- Mathlib.Analysis.Calculus.ContDiff.Basic
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 200 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.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- ContinuousLinearEquivstatement and proof · cited by 743
- ContinuousLinearEquiv.toContinuousLinearMapproof · cited by 448
- ContDiffstatement · cited by 352
- ContinuousLinearMap.contDiffproof · cited by 18
Cited by13
Results whose statement or proof uses this declaration.
- exists_contDiff_tsupport_subsetproof · cited by 3
- contDiffOn_clm_applyproof · cited by 2
- Manifold.IsSubmersionAtOfComplement.contMDiffOnproof · cited by 2
- Manifold.IsImmersionAtOfComplement.contMDiffOnproof · cited by 2
- MeasureTheory.contDiffOn_convolution_right_with_paramproof · cited by 2
- MeasureTheory.lintegral_pow_le_pow_lintegral_fderivproof · cited by 1
- MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eqproof · cited by 1
- Diffeology.DSmooth.contDiffproof · cited by 1
- PiLp.contDiff_ofLpproof · cited by 0
- PiLp.contDiff_toLpproof · cited by 0
- ContDiff.euclidean_distproof · cited by 0
- WithLp.contDiff_ofLpproof · cited by 0