Theorems · Theorem · Lie groups
Real.Angle.sign_ne_zero_iff
∀ {θ : Real.Angle}, θ.sign ≠ 0 ↔ θ ≠ 0 ∧ θ ≠ ↑Real.pi- Cited by
- 6 results in Mathlib
- Foundations
- Depth 188 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 and proof · cited by 158
- Real.Angle.sign_eq_zero_iffproof · cited by 7
Cited by6
Results whose statement or proof uses this declaration.
- EuclideanGeometry.left_ne_right_of_oangle_sign_ne_zeroproof · cited by 2
- Orientation.right_ne_zero_of_oangle_sign_ne_zeroproof · cited by 2
- Orientation.ne_of_oangle_sign_ne_zeroproof · cited by 2
- EuclideanGeometry.right_ne_of_oangle_sign_ne_zeroproof · cited by 2
- EuclideanGeometry.left_ne_of_oangle_sign_ne_zeroproof · cited by 2
- Orientation.left_ne_zero_of_oangle_sign_ne_zeroproof · cited by 2