Theorems · Theorem · complex analysis
Complex.sinh_sq
∀ (x : ℂ), Complex.sinh x ^ 2 = Complex.cosh x ^ 2 - 1
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 146 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Complex.coshstatement and proof · cited by 118
- Complex.sinhstatement and proof · cited by 113
- Complex.cosh_sq_sub_sinh_sqproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Complex.cosh_three_mulproof · cited by 2
- Real.sinh_sqproof · cited by 1