Theorems · Theorem · special functions
Real.arccos_eq_pi
∀ {x : ℝ}, Real.arccos x = Real.pi ↔ x ≤ -1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Real.arcsinproof · cited by 125
- Real.arccosstatement · cited by 90
- sub_eq_iff_eq_addproof · cited by 74
- sub_eq_iff_eq_add'proof · cited by 33
- div_two_sub_selfproof · cited by 1
- Real.neg_pi_div_two_eq_arcsinproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- InnerProductGeometry.angle_eq_pi_iffproof · cited by 8