Theorems · Theorem · real analysis
Real.arctan_inv_of_neg
∀ {x : ℝ}, x < 0 → Real.arctan x⁻¹ = -(Real.pi / 2) - Real.arctan x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- neg_negproof · cited by 960
- Real.arctanstatement and proof · cited by 111
- neg_posproof · cited by 74
- neg_eq_iff_eq_negproof · cited by 60
- inv_negproof · cited by 42
- neg_sub'proof · cited by 10
- Real.arctan_negproof · cited by 6
- Real.arctan_inv_of_posproof · cited by 3
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