Theorems · Theorem · real analysis
differentiableAt_comp_const_sub
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {F : Type v} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] {f : 𝕜 → F} {a b : 𝕜},
DifferentiableAt 𝕜 (fun x => f (b - x)) a ↔ DifferentiableAt 𝕜 f (b - a)- Defined in
- Mathlib.Analysis.Calculus.Deriv.Add
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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- TopologicalSpaceproof · cited by 24,529
- Moduleproof · cited by 20,661
- NormedAddCommGroupstatement and proof · cited by 15,752
- AddCommGroupproof · cited by 12,871
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- DifferentiableAtstatement and proof · cited by 617
- sub_sub_cancelproof · cited by 105
- DifferentiableAt.compproof · cited by 38
- differentiable_idproof · cited by 35
- Differentiable.differentiableAtproof · cited by 32
- Differentiable.const_subproof · cited by 3
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