Theorems · Theorem · global analysis
differentiable_id
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
[inst_3 : TopologicalSpace E], Differentiable 𝕜 id- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Basic
- Cited by
- 35 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Differentiablestatement · cited by 298
- differentiableAt_idproof · cited by 63
Cited by35
Results whose statement or proof uses this declaration.
- differentiableOn_idproof · cited by 13
- Complex.differentiable_Gammaℝ_invproof · cited by 6
- HurwitzZeta.differentiable_hurwitzZetaOddproof · cited by 5
- differentiable_negproof · cited by 5
- HurwitzZeta.differentiable_completedHurwitzZetaEven₀proof · cited by 4
- differentiable_riemannZeta₁proof · cited by 4
- Function.hasTemperateGrowth_norm_sqproof · cited by 3
- Function.Periodic.differentiable_qParamproof · cited by 3
- PhragmenLindelof.horizontal_stripproof · cited by 3
- continuous_sigmoidproof · cited by 2
- PhragmenLindelof.vertical_stripproof · cited by 2
- Complex.norm_eqOn_closedBall_of_isMaxOnproof · cited by 2