Theorems · Theorem · real analysis
Real.arctan_neg
∀ (x : ℝ), Real.arctan (-x) = -Real.arctan x
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.sqrtproof · cited by 545
- neg_divproof · cited by 161
- Real.arcsinproof · cited by 125
- Real.arctanstatement · cited by 111
- Even.neg_powproof · cited by 99
- Real.arcsin_negproof · cited by 11
- Real.arctan_eq_arcsinproof · cited by 5
Cited by6
Results whose statement or proof uses this declaration.
- Real.arctan_addproof · cited by 6
- Orientation.oangle_add_right_smul_rotation_pi_div_twoproof · cited by 4
- Real.arctan_add_eq_add_piproof · cited by 2
- Real.arctan_add_eq_sub_piproof · cited by 1
- Real.arctan_inv_of_negproof · cited by 0
- Real.arctan_eq_neg_pi_div_fourproof · cited by 0