Theorems · Theorem · general topology
Circle.mem_centeredArc
∀ {r : ℝ}, r ≤ Real.pi → ∀ {z : Circle}, z ∈ Circle.centeredArc r ↔ |(↑z).arg| < r- Cited by
- 1 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.ofPredproof · cited by 6,101
- Complexstatement · cited by 5,565
- Submonoidstatement · cited by 3,086
- LT.lt.leproof · cited by 2,189
- absstatement and proof · cited by 1,814
- Real.pistatement and proof · cited by 1,774
- LT.lt.trans_leproof · cited by 678
- Circlestatement and proof · cited by 227
- Complex.argstatement and proof · cited by 220
Cited by1
Results whose statement or proof uses this declaration.
- Circle.mem_centeredArc_divproof · cited by 1