Theorems · Theorem · real analysis
unitInterval.sigmoid_strictMono
StrictMono unitInterval.sigmoid
- Cited by
- 2 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Set.Elemstatement · cited by 7,166
- StrictMonostatement · cited by 706
- unitIntervalstatement · cited by 607
- unitInterval.sigmoidstatement · cited by 19
- Real.sigmoid_strictMonoproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- unitInterval.sigmoid_injectiveproof · cited by 1
- OrderEmbedding.sigmoidproof · cited by 1
- unitInterval.sigmoid_monotoneproof · cited by 0