Theorems · Theorem · complex analysis
Real.abs_sin_le_one
∀ (x : ℝ), |Real.sin x| ≤ 1
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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 · cited by 1,814
- Real.sinstatement and proof · cited by 389
- abs_le_one_iff_mul_self_le_oneproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Real.sin_le_oneproof · cited by 6
- Real.neg_one_le_sinproof · cited by 4
- Real.lipschitzWith_cosproof · cited by 1
- HurwitzZeta.isBigO_atTop_sinKernelproof · cited by 0