Theorems · Theorem · special functions
Real.sin_arcsin
∀ {x : ℝ}, -1 ≤ x → x ≤ 1 → Real.sin (Real.arcsin x) = x- Cited by
- 7 results in Mathlib
- Foundations
- Depth 188 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
- Real.arcsinstatement · cited by 125
- Real.sin_arcsin'proof · cited by 3
Cited by7
Results whose statement or proof uses this declaration.
- Real.arcsin_negproof · cited by 11
- InnerProductGeometry.sin_angle_add_of_inner_eq_zeroproof · cited by 5
- Real.cos_arccosproof · cited by 5
- Real.cos_arcsinproof · cited by 4
- Complex.sin_argproof · cited by 4
- Real.arcsin_sin'proof · cited by 3
- Real.tan_arcsinproof · cited by 2