Theorems · Theorem · Lie groups
Real.Angle.sin_eq_iff_coe_eq_or_add_eq_pi
∀ {θ ψ : ℝ}, Real.sin θ = Real.sin ψ ↔ ↑θ = ↑ψ ∨ ↑θ + ↑ψ = ↑Real.pi- Cited by
- 2 results in Mathlib
- Foundations
- Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
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
- mul_commproof · cited by 2,262
- MulZeroClass.mul_zeroproof · cited by 2,091
- Real.pistatement and proof · cited by 1,774
- mul_assocproof · cited by 1,667
- MulZeroClass.zero_mulproof · cited by 1,625
- neg_zeroproof · cited by 542
- Real.Anglestatement and proof · cited by 518
- Real.cosproof · cited by 424
- sub_eq_zeroproof · cited by 407
- Real.sinstatement and proof · cited by 389
- Real.Angle.coestatement and proof · cited by 360
Cited by2
Results whose statement or proof uses this declaration.
- Real.Angle.sin_eq_real_sin_iff_eq_or_add_eq_piproof · cited by 1
- Real.Angle.cos_sin_injproof · cited by 1