Theorems · Theorem · complex analysis
Complex.cosh_two_mul
∀ (x : ℂ), Complex.cosh (2 * x) = Complex.cosh x ^ 2 + Complex.sinh x ^ 2
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 145 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
- sqproof · cited by 280
- two_mulproof · cited by 232
- Complex.coshstatement and proof · cited by 118
- Complex.sinhstatement and proof · cited by 113
- Complex.cosh_addproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- Complex.cosh_three_mulproof · cited by 2
- Complex.sinh_three_mulproof · cited by 1
- Real.cosh_two_mulproof · cited by 1