Theorems · Theorem · Lie groups
Real.Angle.sign_two_zsmul_eq_sign_iff
∀ {θ : Real.Angle}, (2 • θ).sign = θ.sign ↔ θ = ↑Real.pi ∨ |θ.toReal| < Real.pi / 2- 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- absstatement and proof · cited by 1,814
- Real.pistatement and proof · cited by 1,774
- Real.Anglestatement and proof · cited by 518
- Real.Angle.coestatement and proof · cited by 360
- SignTypestatement · cited by 318
- Real.Angle.signstatement and proof · cited by 158
- Real.Angle.toRealstatement and proof · cited by 82
- two_nsmulproof · cited by 67
- two_zsmulproof · cited by 21
- Real.Angle.sign_two_nsmul_eq_sign_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Orientation.abs_oangle_sub_left_toReal_lt_pi_div_twoproof · cited by 1