Theorems · Theorem · real analysis
differentiable_const
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
[inst_3 : TopologicalSpace E] {F : Type u_3} [inst_4 : AddCommGroup F] [inst_5 : Module 𝕜 F]
[inst_6 : TopologicalSpace F] (c : F), Differentiable 𝕜 fun x => c- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Const
- Cited by
- 14 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_constproof · cited by 23
Cited by14
Results whose statement or proof uses this declaration.
- differentiableOn_constproof · cited by 12
- HurwitzZeta.differentiable_hurwitzZetaOddproof · cited by 5
- Function.HasTemperateGrowth.constproof · cited by 5
- Complex.Gamma_mul_Gamma_add_halfproof · cited by 2
- differentiable_tsumproof · cited by 2
- ContDiff.differentiable_deriv_twoproof · cited by 1
- HurwitzZeta.differentiableAt_sinZetaproof · cited by 1
- ContinuousAlternatingMap.differentiableproof · cited by 0
- differentiable_intCastproof · cited by 0
- differentiable_natCastproof · cited by 0
- differentiable_ofNatproof · cited by 0
- differentiable_oneproof · cited by 0