Theorems · Theorem · complex analysis
Real.sinh_lt_cosh
∀ (x : ℝ), Real.sinh x < Real.cosh x
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 1 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.
Cites8
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
- LT.lt.leproof · cited by 2,189
- Real.sinhstatement and proof · cited by 142
- Real.coshstatement · cited by 119
- lt_add_oneproof · cited by 105
- Real.cosh_posproof · cited by 7
- lt_of_pow_lt_pow_left₀proof · cited by 3
- Real.cosh_sqproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- UpperHalfPlane.im_pos_of_dist_center_leproof · cited by 3