Theorems · Theorem · real analysis
Real.sin_eq_zero_iff_of_lt_of_lt
∀ {x : ℝ}, -Real.pi < x → x < Real.pi → (Real.sin x = 0 ↔ x = 0)- Cited by
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- Foundations
- Depth 178 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.
- Realstatement and proof · cited by 25,697
- Real.pistatement and proof · cited by 1,774
- LT.lt.ne'proof · cited by 1,417
- LT.lt.neproof · cited by 872
- Real.sinstatement and proof · cited by 389
- Ne.lt_or_gtproof · cited by 108
- Real.sin_zeroproof · cited by 32
- Real.sin_pos_of_pos_of_lt_piproof · cited by 11
- Real.sin_neg_of_neg_of_neg_pi_ltproof · cited by 3
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