Theorems · Theorem · global analysis
ContinuousAffineMap.differentiable
∀ {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] (f : E →ᴬ[𝕜] F),
Differentiable 𝕜 ⇑f- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Affine
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 168 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.
- DFunLike.coestatement · cited by 62,936
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Differentiablestatement · cited by 298
- ContinuousAffineMapstatement and proof · cited by 263
- ContinuousAffineMap.differentiableAtproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousAffineMap.differentiableOnproof · cited by 1