Theorems · Theorem · general topology
Circle.path_image_Ioc_union
∀ {x y : Circle}, x ≠ y → ⇑(x.path y) '' Set.Ioc 0 1 ∪ ⇑(y.path x) '' Set.Ioc 0 1 = Set.univ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.Elemstatement · cited by 7,166
- Set.imagestatement and proof · cited by 5,609
- Set.univstatement and proof · cited by 3,945
- Set.Iocstatement and proof · cited by 971
- unitIntervalstatement · cited by 607
- Pathstatement · cited by 318
- Circlestatement and proof · cited by 227
- Complex.argproof · cited by 220
- Circle.expproof · cited by 73
Cited by1
Results whose statement or proof uses this declaration.
- Circle.compl_path_image_Iocproof · cited by 1