Theorems · Theorem · special functions
Real.arcsin_mem_Icc
∀ (x : ℝ), Real.arcsin x ∈ Set.Icc (-(Real.pi / 2)) (Real.pi / 2)
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 187 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.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Real.pistatement · cited by 1,774
- Set.Iccstatement · cited by 1,702
- OrderIso.symmproof · cited by 475
- Real.arcsinstatement · cited by 125
- Subtype.coe_propproof · cited by 42
- Set.IccExtendproof · cited by 26
- Real.sinOrderIsoproof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- Real.arcsin_le_pi_div_twoproof · cited by 7
- Real.arcsin_eq_of_sin_eqproof · cited by 6
- Real.neg_pi_div_two_le_arcsinproof · cited by 5
- Real.arcsin_sin'proof · cited by 3
- Real.sinPartialEquivproof · cited by 1