Theorems · Theorem · Lie groups
Real.Angle.neg_coe_abs_toReal_of_sign_nonpos
∀ {θ : Real.Angle}, θ.sign ≤ 0 → -↑|θ.toReal| = θ- Cited by
- 0 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.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- absstatement and proof · cited by 1,814
- Real.piproof · cited by 1,774
- neg_negproof · cited by 960
- neg_zeroproof · cited by 542
- Real.Anglestatement and proof · cited by 518
- Real.Angle.coestatement and proof · cited by 360
- SignTypestatement · cited by 318
- Real.pi_posproof · cited by 173
- Real.Angle.signstatement and proof · cited by 158
- abs_of_posproof · cited by 114
- abs_zeroproof · cited by 88
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.