Theorems · Theorem · real analysis
Complex.analyticWithinAt_cosh
∀ {x : ℂ} {s : Set ℂ}, AnalyticWithinAt ℂ Complex.cosh s xThe function Complex.cosh is complex analytic.
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- Foundations
- Depth 203 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.
- Setstatement and proof · cited by 53,352
- Complexstatement and proof · cited by 5,565
- Complex.coshstatement · cited by 118
- AnalyticWithinAtstatement · cited by 96
- ContDiff.contDiffWithinAtproof · cited by 17
- ContDiffWithinAt.analyticWithinAtproof · cited by 13
- Complex.contDiff_coshproof · cited by 8
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