Theorems · Theorem · Lie groups
Real.Angle.abs_cos_eq_abs_sin_of_two_nsmul_add_two_nsmul_eq_pi
∀ {θ ψ : Real.Angle}, 2 • θ + 2 • ψ = ↑Real.pi → |θ.cos| = |ψ.sin|- Cited by
- 1 results in Mathlib
- Foundations
- Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- abs_negproof · cited by 93
- Real.Angle.cosstatement · cited by 77
- Real.Angle.sinstatement and proof · cited by 75
- eq_sub_iff_add_eqproof · cited by 65
- Real.Angle.two_nsmul_eq_iffproof · cited by 6
- Real.Angle.cos_add_piproof · cited by 4
- Real.Angle.two_nsmul_coe_div_twoproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Real.Angle.abs_cos_eq_abs_sin_of_two_zsmul_add_two_zsmul_eq_piproof · cited by 1