Theorems · Theorem · real analysis
analyticAt_sigmoid
∀ {x : ℝ}, AnalyticAt ℝ Real.sigmoid x- Cited by
- 5 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- ne_of_gtproof · cited by 637
- AnalyticAtstatement · cited by 321
- Real.exp_posproof · cited by 169
- add_pos'proof · cited by 88
- analyticAt_constproof · cited by 70
- Real.sigmoidstatement · cited by 39
- analyticAt_idproof · cited by 39
- AnalyticAt.fun_addproof · cited by 9
- AnalyticAt.fun_invproof · cited by 1
- AnalyticAt.fun_negproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- analyticOnNhd_sigmoidproof · cited by 2
- AnalyticAt.sigmoidproof · cited by 1
- AnalyticOnNhd.sigmoidproof · cited by 0
- AnalyticWithinAt.sigmoidproof · cited by 0
- analyticWithinAt_sigmoidproof · cited by 0