Theorems · Theorem · functional analysis
ContinuousLinearEquiv.fderiv
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {F : Type u_3} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {x : E}
(iso : E ≃L[𝕜] F), fderiv 𝕜 (⇑iso) x = ↑iso- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Equiv
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 171 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
- ContinuousLinearMapstatement · cited by 5,352
- ContinuousLinearEquivstatement and proof · cited by 743
- ContinuousLinearEquiv.toContinuousLinearMapstatement · cited by 448
- fderivstatement · cited by 398
- HasFDerivAt.fderivproof · cited by 93
- ContinuousLinearEquiv.hasFDerivAtproof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- ContinuousLinearEquiv.comp_fderivWithinproof · cited by 6
- MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eqproof · cited by 1
- MeasureTheory.lintegral_pow_le_pow_lintegral_fderivproof · cited by 1
- conformalAt_iff_differentiableAt_or_differentiableAt_comp_conjproof · cited by 0