Theorems · Theorem · global analysis

Differentiable.const_sub

∀ {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 → F},
  Differentiable 𝕜 f → ∀ (c : F), Differentiable 𝕜 fun y => c - f y

Defined in: Mathlib.Analysis.Calculus.FDeriv.Add
Cited by: 3 results in Mathlib
Foundations: Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NontriviallyNormedField NormedAddCommGroup NormedSpace NormedAddCommGroup NormedSpace

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites5

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
Differentiablestatement and proof · cited by 298
DifferentiableAt.const_subproof · cited by 14

Cited by3

Results whose statement or proof uses this declaration.

spectrum.differentiableOn_inverse_one_sub_smulproof · cited by 1
ZMod.completedLFunction_one_sub_oddproof · cited by 1
differentiableAt_comp_const_subproof · cited by 0