Theorems · Theorem · special functions
Real.arcsin_projIcc
∀ (x : ℝ), Real.arcsin ↑(Set.projIcc (-1) 1 ⋯ x) = Real.arcsin x
- Cited by
- 2 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Real.piproof · cited by 1,774
- Set.Iccstatement and proof · cited by 1,702
- OrderIso.symmproof · cited by 475
- zero_le_onestatement and proof · cited by 316
- Real.arcsinstatement · cited by 125
- Set.projIccstatement and proof · cited by 56
- Set.IccExtendproof · cited by 26
- Real.sinOrderIsoproof · cited by 9
- neg_le_selfstatement and proof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Real.arcsin_of_le_neg_oneproof · cited by 7
- Real.arcsin_of_one_leproof · cited by 7