Theorems · Theorem · real analysis
unitInterval.sigmoid_le_iff
∀ {a b : ℝ}, unitInterval.sigmoid a ≤ unitInterval.sigmoid b ↔ a ≤ b- Cited by
- 1 results in Mathlib
- Foundations
- Depth 155 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.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.Elemstatement · cited by 7,166
- unitIntervalstatement · cited by 607
- unitInterval.sigmoidstatement · cited by 19
- Real.sigmoid_le_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- unitInterval.sigmoid_leproof · cited by 0