Theorems · Theorem · special functions
Real.arccos_le_arccos
∀ {x y : ℝ}, x ≤ y → Real.arccos y ≤ Real.arccos x- Cited by
- 2 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.
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.piproof · cited by 1,774
- Real.arccosstatement · cited by 90
- sub_le_sub_leftproof · cited by 43
- Real.arcsin_le_arcsinproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Real.antitone_arccosproof · cited by 1
- Filter.Tendsto.arccos_nhdsLEproof · cited by 0