Theorems · Theorem · Lie groups
Real.Angle.sin_neg
∀ (θ : Real.Angle), (-θ).sin = -θ.sin
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Real.Anglestatement and proof · cited by 518
- Real.Angle.sinstatement · cited by 75
- Real.sin_negproof · cited by 34
- Real.Angle.induction_onproof · cited by 29
Cited by4
Results whose statement or proof uses this declaration.
- Real.Angle.sign_negproof · cited by 15
- Orientation.rotation_neg_orientation_eq_negproof · cited by 1
- Real.Angle.sign_neg_coe_nonpos_of_nonneg_of_le_piproof · cited by 0
- Orientation.rotation_symmproof · cited by 0