Theorems · Theorem · complex analysis
Real.cosh_three_mul
∀ (x : ℝ), Real.cosh (3 * x) = 4 * Real.cosh x ^ 3 - 3 * Real.cosh x
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 148 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
- Complex.ofReal_mulproof · cited by 180
- Real.coshstatement and proof · cited by 119
- Complex.coshproof · cited by 118
- 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.cosh_three_mulproof · cited by 2
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