Theorems · Theorem · Lie groups
Real.Angle.angle_eq_iff_two_pi_dvd_sub
∀ {ψ θ : ℝ}, ↑θ = ↑ψ ↔ ∃ k, θ - ψ = 2 * Real.pi * ↑k- Cited by
- 8 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.pistatement and proof · cited by 1,774
- Real.Anglestatement and proof · cited by 518
- Real.Angle.coestatement and proof · cited by 360
- QuotientAddGroup.mkproof · cited by 348
- SubtractionCommMonoidproof · cited by 79
- sub_eq_neg_addproof · cited by 51
- QuotientAddGroup.eqproof · cited by 24
- AddSubgroup.zmultiples_eq_closureproof · cited by 9
- zsmul_eq_mul'proof · cited by 2
Cited by8
Results whose statement or proof uses this declaration.
- Real.Angle.neg_coe_piproof · cited by 12
- Real.Angle.coe_two_piproof · cited by 7
- Real.Angle.cos_eq_iff_coe_eq_or_eq_negproof · cited by 3
- Real.Angle.coe_toIocModproof · cited by 2
- Real.Angle.sin_eq_iff_coe_eq_or_add_eq_piproof · cited by 2
- Real.Angle.tan_eq_inv_of_two_nsmul_add_two_nsmul_eq_piproof · cited by 1
- Real.Angle.coe_toIcoModproof · cited by 0