Theorems · Theorem · real analysis
Real.self_le_sinh_iff
∀ {x : ℝ}, x ≤ Real.sinh x ↔ 0 ≤ x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 213 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.
- Realstatement and proof · cited by 25,697
- sub_selfproof · cited by 996
- Real.sinhstatement and proof · cited by 142
- StrictMono.le_iff_leproof · cited by 104
- Real.sinh_zeroproof · cited by 10
- Real.sinh_sub_id_strictMonoproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Real.sinh_lt_self_iffproof · cited by 0
- UpperHalfPlane.dist_le_dist_coe_div_sqrtproof · cited by 0