Theorems · Theorem · real analysis
DifferentiableAt.of_dslope
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {f : 𝕜 → E} {a b : 𝕜}, DifferentiableAt 𝕜 (dslope f a) b → DifferentiableAt 𝕜 f b- Defined in
- Mathlib.Analysis.Calculus.DSlope
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- DifferentiableAtstatement and proof · cited by 617
- DifferentiableAt.differentiableWithinAtproof · cited by 96
- dslopestatement and proof · cited by 40
- differentiableWithinAt_univproof · cited by 14
- DifferentiableWithinAt.of_dslopeproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.