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Theorems · Theorem · special functions

Real.arccos_le_pi_div_two

∀ {x : ℝ}, Real.arccos x ≤ Real.pi / 2 ↔ 0 ≤ x
Defined in
Mathlib.Analysis.SpecialFunctions.Trigonometric.Inverse
Cited by
2 results in Mathlib
Foundations
Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites3

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.arccosstatement · cited by 90

Cited by2

Results whose statement or proof uses this declaration.