Theorems · Theorem · special functions
Real.arccos_nonneg
∀ (x : ℝ), 0 ≤ Real.arccos x
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 189 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
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Real.piproof · cited by 1,774
- le_of_not_gtproof · cited by 430
- Real.arcsinproof · cited by 125
- Real.arccosstatement · cited by 90
- Real.arcsin_le_pi_div_twoproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- InnerProductGeometry.angle_nonnegproof · cited by 11
- Polynomial.Chebyshev.abs_eval_T_real_eq_one_iffproof · cited by 3
- Real.arccos_eq_arcsinproof · cited by 2