Theorems · Theorem · Lie groups
Real.Angle.sign_add_pi
∀ (θ : Real.Angle), (θ + ↑Real.pi).sign = -θ.sign
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 183 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.
- Real.pistatement · cited by 1,774
- Real.Anglestatement and proof · cited by 518
- Real.Angle.coestatement · cited by 360
- SignTypestatement · cited by 318
- Real.Angle.signstatement · cited by 158
- Real.Angle.sign_antiperiodicproof · cited by 3
Cited by7
Results whose statement or proof uses this declaration.
- Orientation.oangle_sign_neg_leftproof · cited by 2
- Orientation.oangle_sign_neg_rightproof · cited by 2
- Orientation.norm_eq_of_two_zsmul_oangle_sub_eqproof · cited by 1
- Real.Angle.sign_two_nsmul_eq_neg_sign_iffproof · cited by 1
- Real.Angle.sub_ne_pi_of_sign_eq_of_sign_ne_zeroproof · cited by 0
- Real.Angle.sign_pi_addproof · cited by 0
- Real.Angle.two_zsmul_eq_iff_eqproof · cited by 0