Theorems · Theorem · complex analysis
Real.sinh_neg
∀ (x : ℝ), Real.sinh (-x) = -Real.sinh x
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 4 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.
Cites7
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.reproof · cited by 882
- Real.sinhstatement · cited by 142
- Complex.ofReal_negproof · cited by 130
- Complex.sinhproof · cited by 113
- Complex.sinh_negproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- Real.sinh_sub_id_strictMonoproof · cited by 2
- Real.abs_sinhproof · cited by 1
- Real.cosh_subproof · cited by 0
- Real.sinh_subproof · cited by 0