Theorems · Theorem · real analysis
hasFDerivAt_snd
∀ {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] {p : E × F},
HasFDerivAt Prod.snd (ContinuousLinearMap.snd 𝕜 E F) p- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Prod
- Cited by
- 6 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- HasFDerivAtstatement · cited by 350
- ContinuousLinearMap.sndstatement · cited by 85
- hasFDerivAtFilter_sndproof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- differentiableAt_sndproof · cited by 5
- hasFDerivAt_polarCoord_symmproof · cited by 3
- hasFDerivAt_jacobiTheta₂_termproof · cited by 1
- HasFDerivAt.prodMapproof · cited by 1
- fderiv_sndproof · cited by 0
- ContinuousLinearMap.hasFDerivAt_uncurry_of_multilinearproof · cited by 0