Theorems · Theorem · Lie groups
Real.Angle.sign_neg
∀ (θ : Real.Angle), (-θ).sign = -θ.sign
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 181 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.
- DFunLike.coeproof · cited by 62,936
- Real.Anglestatement and proof · cited by 518
- SignTypestatement · cited by 318
- Real.Angle.signstatement · cited by 158
- SignType.signproof · cited by 128
- Real.Angle.sinproof · cited by 75
- Left.sign_negproof · cited by 9
- Real.Angle.sin_negproof · cited by 4
Cited by15
Results whose statement or proof uses this declaration.
- Orientation.oangle_eq_angle_of_sign_eq_oneproof · cited by 25
- Orientation.oangle_sign_sub_right_swapproof · cited by 13
- EuclideanGeometry.oangle_swap₁₃_signproof · cited by 3
- Orientation.oangle_sign_add_smul_leftproof · cited by 3
- Orientation.oangle_sign_sub_left_swapproof · cited by 2
- Orientation.angle_eq_iff_oangle_eq_neg_of_sign_eq_negproof · cited by 2
- Orientation.oangle_eq_neg_of_angle_eq_of_sign_eq_negproof · cited by 1
- Real.Angle.sign_pi_subproof · cited by 1
- Wbtw.oangle_sign_eq_of_ne_rightproof · cited by 1
- Orientation.norm_eq_of_two_zsmul_oangle_sub_eqproof · cited by 1
- Orientation.oangle_sign_smul_add_smul_leftproof · cited by 1