Theorems · Theorem · real analysis
Real.sigmoid_strictMono
StrictMono Real.sigmoid
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- StrictMonostatement · cited by 706
- Real.exp_posproof · cited by 169
- add_pos'proof · cited by 88
- add_lt_add_rightproof · cited by 50
- Real.sigmoidstatement · cited by 39
- neg_lt_negproof · cited by 20
- Real.exp_strictMonoproof · cited by 17
- inv_strictAnti₀proof · cited by 10
Cited by5
Results whose statement or proof uses this declaration.
- unitInterval.sigmoid_strictMonoproof · cited by 2
- Real.sigmoid_le_iffproof · cited by 2
- Real.sigmoid_lt_iffproof · cited by 2
- Real.sigmoid_injectiveproof · cited by 1
- Real.sigmoid_monotoneproof · cited by 0