Theorems · Theorem · real analysis
ContDiffAt.div_const
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type uE} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {x : E} {𝕜' : Type u_6} [inst_3 : NormedField 𝕜'] [inst_4 : NormedAlgebra 𝕜 𝕜']
{f : E → 𝕜'} {n : WithTop ℕ∞}, ContDiffAt 𝕜 n f x → ∀ (c : 𝕜'), ContDiffAt 𝕜 n (fun x => f x / c) x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- NormedAlgebrastatement and proof · cited by 1,165
- NormedFieldstatement and proof · cited by 1,084
- ContDiffAtstatement and proof · cited by 262
- ContDiffWithinAt.div_constproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AnalyticAt.exists_eventuallyEq_sum_add_pow_mulproof · cited by 1