Theorems · Theorem · complex analysis
Complex.sinh_neg
∀ (x : ℂ), Complex.sinh (-x) = -Complex.sinh 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.
Cites9
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
- neg_negproof · cited by 960
- Complex.expproof · cited by 612
- neg_subproof · cited by 272
- DivisionMonoidproof · cited by 201
- neg_divproof · cited by 161
- HasDistribNegproof · cited by 114
- Complex.sinhstatement · cited by 113
- Complex.exp_negproof · cited by 15
Cited by6
Results whose statement or proof uses this declaration.
- Complex.sin_mul_Iproof · cited by 5
- Real.sinh_negproof · cited by 4
- Complex.sin_conjproof · cited by 3
- Complex.tanh_negproof · cited by 1
- Complex.cosh_subproof · cited by 0
- Complex.sinh_subproof · cited by 0