Theorems · Theorem · complex analysis
Real.abs_sin_eq_one_iff
∀ {x : ℝ}, |Real.sin x| = 1 ↔ ∃ k, Real.pi / 2 + ↑k * Real.pi = x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- absstatement and proof · cited by 1,814
- Real.pistatement and proof · cited by 1,774
- Evenproof · cited by 444
- Real.sinstatement and proof · cited by 389
- Oddproof · cited by 364
- abs_oneproof · cited by 87
- abs_eq_absproof · cited by 7
- Int.even_or_oddproof · cited by 6
- Real.sin_eq_neg_one_iffproof · cited by 1
- Real.sin_eq_one_iffproof · cited by 1
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