Theorems · Theorem · complex analysis
Real.neg_one_le_sin
∀ (x : ℝ), -1 ≤ Real.sin x
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 155 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
- Real.sinstatement · cited by 389
- abs_leproof · cited by 64
- Real.abs_sin_le_oneproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Real.sin_mem_Iccproof · cited by 5
- Real.arcsin_le_iff_le_sin'proof · cited by 3
- Real.arcsin_sin'proof · cited by 3
- Real.sin_div_le_inv_absproof · cited by 1