Theorems · Theorem · real analysis
Real.analyticWithinAt_sin
∀ {x : ℝ} {s : Set ℝ}, AnalyticWithinAt ℝ Real.sin s xThe function Real.sin is real analytic.
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- Foundations
- Depth 204 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
- Realstatement and proof · cited by 25,697
- Real.sinstatement · cited by 389
- AnalyticWithinAtstatement · cited by 96
- ContDiff.contDiffWithinAtproof · cited by 17
- ContDiffWithinAt.analyticWithinAtproof · cited by 13
- Real.contDiff_sinproof · cited by 11
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