Theorems · Theorem · Lie groups
Real.Angle.toReal_coe_eq_self_iff_mem_Ioc
∀ {θ : ℝ}, (↑θ).toReal = θ ↔ θ ∈ Set.Ioc (-Real.pi) Real.pi- Cited by
- 2 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Real.pistatement and proof · cited by 1,774
- Set.Iocstatement and proof · cited by 971
- Real.Angle.coestatement · cited by 360
- Real.Angle.toRealstatement · cited by 82
- Set.mem_Iocproof · cited by 20
- Real.Angle.toReal_coe_eq_self_iffproof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- Complex.arg_coe_angle_toReal_eq_argproof · cited by 4
- Complex.arg_mul_eq_add_arg_iffproof · cited by 2