Theorems · Theorem · Lie groups
Real.Angle.nsmul_toReal_eq_mul
∀ {n : ℕ},
n ≠ 0 → ∀ {θ : Real.Angle}, (n • θ).toReal = ↑n * θ.toReal ↔ θ.toReal ∈ Set.Ioc (-Real.pi / ↑n) (Real.pi / ↑n)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Nat.cast_zeroproof · cited by 1,870
- Real.pistatement and proof · cited by 1,774
- Set.Iocstatement and proof · cited by 971
- Real.Anglestatement and proof · cited by 518
- nsmul_eq_mulproof · cited by 369
- Real.Angle.coeproof · cited by 360
- Real.Angle.toRealstatement and proof · cited by 82
- le_div_iff₀'proof · cited by 32
- Set.mem_Iocproof · cited by 20
- div_lt_iff₀'proof · cited by 20
Cited by2
Results whose statement or proof uses this declaration.
- Circle.mem_centeredArc_divproof · cited by 1
- Real.Angle.two_nsmul_toReal_eq_two_mulproof · cited by 1