Theorems · Theorem · special functions
Real.arcsin_eq_of_sin_eq
∀ {x y : ℝ}, Real.sin x = y → x ∈ Set.Icc (-(Real.pi / 2)) (Real.pi / 2) → Real.arcsin y = x- Cited by
- 6 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.
Cites10
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
- Real.pistatement and proof · cited by 1,774
- Set.Iccstatement and proof · cited by 1,702
- Real.sinstatement and proof · cited by 389
- Real.arcsinstatement and proof · cited by 125
- Real.sin_mem_Iccproof · cited by 5
- Real.arcsin_mem_Iccproof · cited by 4
- Real.injOn_sinproof · cited by 3
- Real.sin_arcsin'proof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- Real.arcsin_negproof · cited by 11
- Real.arcsin_zeroproof · cited by 9
- Real.arcsin_oneproof · cited by 6
- Real.arctan_eq_arcsinproof · cited by 5
- Real.arccos_eq_arcsinproof · cited by 2
- Real.arcsin_neg_oneproof · cited by 1