Theorems · Theorem · real analysis
Real.one_le_cosh
∀ (x : ℝ), 1 ≤ Real.cosh x
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 210 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
- absproof · cited by 1,814
- Real.coshstatement · cited by 119
- abs_zeroproof · cited by 88
- Real.cosh_zeroproof · cited by 4
- Real.cosh_le_coshproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Real.coshPartialEquivproof · cited by 6
- UpperHalfPlane.dist_self_centerproof · cited by 2