Theorems · Theorem · special functions
Real.arcsin_nonpos
∀ {x : ℝ}, Real.arcsin x ≤ 0 ↔ x ≤ 0- Cited by
- 1 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.
Cites5
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.arcsinstatement · cited by 125
- neg_nonnegproof · cited by 60
- Real.arcsin_negproof · cited by 11
- Real.arcsin_nonnegproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Real.arcsin_posproof · cited by 1