Theorems · Theorem · real analysis
hasFDerivAtFilter_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]
{L : Filter ((E × F) × E × F)}, HasFDerivAtFilter Prod.snd (ContinuousLinearMap.snd 𝕜 E F) L- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Prod
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Filterstatement and proof · cited by 8,121
- ContinuousLinearMap.sndstatement and proof · cited by 85
- HasFDerivAtFilterstatement · cited by 81
- ContinuousLinearMap.hasFDerivAtFilterproof · cited by 11
Cited by4
Results whose statement or proof uses this declaration.
- hasFDerivAt_sndproof · cited by 6
- hasStrictFDerivAt_sndproof · cited by 5
- hasFDerivWithinAt_sndproof · cited by 3
- HasFDerivAtFilter.sndproof · cited by 3