Theorems · Theorem · Lie groups
Real.Angle.toReal_neg_iff_sign_neg
∀ {θ : Real.Angle}, θ.toReal < 0 ↔ θ.sign = -1- Cited by
- 2 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Real.Anglestatement and proof · cited by 518
- SignTypestatement and proof · cited by 318
- Real.Angle.signstatement · cited by 158
- SignType.signproof · cited by 128
- Real.Angle.toRealstatement and proof · cited by 82
- sign_eq_neg_one_iffproof · cited by 9
- Real.Angle.sin_toRealproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Real.Angle.sign_toRealproof · cited by 1
- Real.Angle.neg_coe_abs_toReal_of_sign_nonposproof · cited by 0