Theorems · Theorem · complex analysis
Complex.cosh_neg
∀ (x : ℂ), Complex.cosh (-x) = Complex.cosh x
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 147 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.
- Complexstatement and proof · cited by 5,565
- add_commproof · cited by 1,535
- neg_negproof · cited by 960
- Complex.expproof · cited by 612
- Complex.coshstatement · cited by 118
- Complex.exp_negproof · cited by 15
Cited by6
Results whose statement or proof uses this declaration.
- Complex.cos_mul_Iproof · cited by 6
- Complex.cos_conjproof · cited by 3
- Real.cosh_negproof · cited by 3
- Complex.tanh_negproof · cited by 1
- Complex.cosh_subproof · cited by 0
- Complex.sinh_subproof · cited by 0