Theorems · Theorem · real analysis
Real.arctan_tan
∀ {x : ℝ}, -(Real.pi / 2) < x → x < Real.pi / 2 → Real.arctan (Real.tan x) = x- Cited by
- 4 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.arctanstatement · cited by 111
- Real.tanstatement · cited by 100
- OrderIso.symm_apply_applyproof · cited by 41
- Real.tanOrderIsoproof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- Real.arctan_addproof · cited by 6
- Real.arctan_inv_of_posproof · cited by 3
- Real.arctan_inv_sqrt_threeproof · cited by 0
- Real.arctan_sqrt_threeproof · cited by 0