Theorems · Theorem · real analysis
Real.sin_mem_Icc
∀ (x : ℝ), Real.sin x ∈ Set.Icc (-1) 1
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.Iccstatement · cited by 1,702
- Real.sinstatement · cited by 389
- Real.sin_le_oneproof · cited by 6
- Real.neg_one_le_sinproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- Real.arcsin_eq_of_sin_eqproof · cited by 6
- Real.arcsin_le_iff_le_sinproof · cited by 3
- Real.range_sinproof · cited by 1
- Real.mapsTo_sinproof · cited by 1
- Real.sinOrderIso_applystatement · cited by 0