Theorems · Theorem · real analysis
AnalyticOn.sigmoid
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {f : E → ℝ} {s : Set E},
AnalyticOn ℝ f s → AnalyticOn ℝ (Real.sigmoid ∘ f) s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 196 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.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- AnalyticOnstatement and proof · cited by 161
- Set.mapsTo_univproof · cited by 55
- Real.sigmoidstatement · cited by 39
- AnalyticOnNhd.comp_analyticOnproof · cited by 12
- analyticOnNhd_sigmoidproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.