Theorems · Theorem · complex analysis
Real.cosh_neg
∀ (x : ℝ), Real.cosh (-x) = Real.cosh x
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 148 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
- Complex.ofRealproof · cited by 1,654
- Complex.ofReal_negproof · cited by 130
- Real.coshstatement · cited by 119
- Complex.coshproof · cited by 118
- Complex.ofReal_injproof · cited by 38
- Complex.ofReal_coshproof · cited by 12
- Complex.cosh_negproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- Real.cosh_absproof · cited by 2
- Real.cosh_subproof · cited by 0
- Real.sinh_subproof · cited by 0