Theorems · Theorem · special functions
Real.arccos_of_le_neg_one
∀ {x : ℝ}, x ≤ -1 → Real.arccos x = Real.pi- Cited by
- 1 results in Mathlib
- Foundations
- Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- sub_neg_eq_addproof · cited by 264
- Real.arccosstatement · cited by 90
- add_halvesproof · cited by 78
- Real.arcsin_of_le_neg_oneproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Real.sin_arccosproof · cited by 2