Theorems · Theorem · special functions
Real.arccos_neg
∀ (x : ℝ), Real.arccos (-x) = Real.pi - Real.arccos x
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.arcsinproof · cited by 125
- Real.arccosstatement and proof · cited by 90
- add_halvesproof · cited by 78
- add_sub_assocproof · cited by 72
- sub_sub_selfproof · cited by 12
- Real.arcsin_negproof · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- InnerProductGeometry.angle_neg_rightproof · cited by 7
- Complex.arg_neg_eq_arg_add_pi_of_im_negproof · cited by 3
- Complex.arg_neg_eq_arg_sub_pi_of_im_posproof · cited by 3