Theorems · Theorem · functional analysis
ContinuousLinearEquiv.hasFDerivWithinAt
∀ {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}
{s : Set E} (iso : E ≃L[𝕜] F), HasFDerivWithinAt (⇑iso) (↑iso) s x- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Equiv
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- 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
- ContinuousLinearEquivstatement and proof · cited by 743
- ContinuousLinearEquiv.toContinuousLinearMapstatement and proof · cited by 448
- HasFDerivWithinAtstatement · cited by 356
- ContinuousLinearMap.hasFDerivWithinAtproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iffproof · cited by 3
- UniqueDiffWithinAt.smulproof · cited by 2
- ContinuousLinearEquiv.hasMFDerivWithinAtproof · cited by 1
- ContinuousLinearEquiv.uniqueDiffOn_imageproof · cited by 1
- LinearIsometryEquiv.hasFDerivWithinAtproof · cited by 0