Theorems · Theorem · complex analysis
Real.cosh_sq_sub_sinh_sq
∀ (x : ℝ), Real.cosh x ^ 2 - Real.sinh x ^ 2 = 1
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Real.sinhstatement and proof · cited by 142
- Real.coshstatement and proof · cited by 119
- Complex.ofReal_powproof · cited by 81
- Complex.ofReal_subproof · cited by 63
- Complex.ofReal_injproof · cited by 38
- Complex.ofReal_coshproof · cited by 12
- Complex.ofReal_sinhproof · cited by 12
- Complex.cosh_sq_sub_sinh_sqproof · cited by 4
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