Theorems · Theorem · real analysis
Real.sigmoid_pos
∀ (x : ℝ), 0 < x.sigmoid
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Nat.cast_oneproof · cited by 2,501
- Real.exp_posproof · cited by 169
- inv_pos_of_posproof · cited by 123
- add_pos'proof · cited by 88
- Real.sigmoidstatement · cited by 39
Cited by3
Results whose statement or proof uses this declaration.
- Real.range_sigmoidproof · cited by 1
- unitInterval.sigmoid_posproof · cited by 0
- Real.sigmoid_nonnegproof · cited by 0