Theorems · Theorem · real analysis
Real.arctan_eq_of_tan_eq
∀ {x y : ℝ}, Real.tan x = y → x ∈ Set.Ioo (-(Real.pi / 2)) (Real.pi / 2) → Real.arctan y = x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 204 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.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Real.pistatement and proof · cited by 1,774
- Set.Ioostatement and proof · cited by 1,214
- Real.arctanstatement and proof · cited by 111
- Real.tanstatement and proof · cited by 100
- Real.tan_arctanproof · cited by 11
- Real.arctan_mem_Iooproof · cited by 7
- Real.injOn_tanproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Real.arctan_oneproof · cited by 7
- Real.arccos_eq_arctanproof · cited by 0