Theorems · Theorem · real analysis
Real.abs_sin_le_abs
∀ {x : ℝ}, |Real.sin x| ≤ |x|- Cited by
- 2 results in Mathlib
- Foundations
- Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 · cited by 389
- sq_le_sqproof · cited by 16
- Real.sin_sq_le_sqproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Real.abs_sinc_le_oneproof · cited by 3
- Real.norm_exp_I_mul_ofReal_sub_one_leproof · cited by 1