Theorems · Theorem · Lie groups
Real.Angle.sign_two_nsmul_eq_neg_sign_iff
∀ {θ : Real.Angle}, (2 • θ).sign = -θ.sign ↔ θ = 0 ∨ Real.pi / 2 < |θ.toReal|- Cited by
- 1 results in Mathlib
- Foundations
- Depth 189 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- add_zeroproof · cited by 2,707
- absstatement · cited by 1,814
- Real.pistatement and proof · cited by 1,774
- Real.Anglestatement and proof · cited by 518
- Real.Angle.coeproof · cited by 360
- SignTypestatement · cited by 318
- smul_addproof · cited by 263
- Real.Angle.signstatement and proof · cited by 158
- Real.Angle.toRealstatement · cited by 82
- Real.Angle.sign_add_piproof · cited by 7
- Real.Angle.cos_add_piproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Real.Angle.sign_two_zsmul_eq_neg_sign_iffproof · cited by 0