Theorems · Theorem · special functions
Real.arcsin_eq_neg_pi_div_two
∀ {x : ℝ}, Real.arcsin x = -(Real.pi / 2) ↔ x ≤ -1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.pistatement and proof · cited by 1,774
- LT.lt.ne'proof · cited by 1,417
- not_ltproof · cited by 306
- Real.arcsinstatement and proof · cited by 125
- Real.arcsin_of_le_neg_oneproof · cited by 7
- Real.neg_pi_div_two_lt_arcsinproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Real.neg_pi_div_two_eq_arcsinproof · cited by 1
- Real.arcsin_le_neg_pi_div_twoproof · cited by 0