Theorems · Theorem · real analysis
Complex.sinh_sub_pi_mul_I
∀ (z : ℂ), Complex.sinh (z - ↑Real.pi * Complex.I) = -Complex.sinh z
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- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Real.pistatement · cited by 1,774
- Complex.ofRealstatement · cited by 1,654
- Complex.Istatement · cited by 866
- Complex.sinhstatement · cited by 113
- Function.Antiperiodic.sub_eqproof · cited by 12
- Complex.sinh_antiperiodicproof · cited by 3
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