Theorems · Theorem · real analysis
Differentiable.sigmoid
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {f : E → ℝ},
Differentiable ℝ f → Differentiable ℝ (Real.sigmoid ∘ f)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Differentiablestatement and proof · cited by 298
- Real.sigmoidstatement · cited by 39
- Differentiable.compproof · cited by 17
- differentiable_sigmoidproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- continuous_sigmoidproof · cited by 2