Theorems · Theorem · real analysis
Real.sigmoid_le_iff
∀ {a b : ℝ}, a.sigmoid ≤ b.sigmoid ↔ a ≤ b- Cited by
- 2 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- StrictMono.le_iff_leproof · cited by 104
- Real.sigmoidstatement · cited by 39
- Real.sigmoid_strictMonoproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- unitInterval.sigmoid_le_iffproof · cited by 1
- Real.sigmoid_leproof · cited by 0