Theorems · Theorem · real analysis

ContDiff.div_const

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type uE} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {𝕜' : Type u_6} [inst_3 : NormedField 𝕜'] [inst_4 : NormedAlgebra 𝕜 𝕜'] {f : E → 𝕜'}
  {n : WithTop ℕ∞}, ContDiff 𝕜 n f → ∀ (c : 𝕜'), ContDiff 𝕜 n fun x => f x / c

Defined in

Mathlib.Analysis.Calculus.ContDiff.Operations

Cited by

8 results in Mathlib

Foundations

Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedFieldNormedAlgebra