Theorems · Definition · general topology
Circle.path
(x y : Circle) → Path x y
Path from x to y on the circle traversing in anti-clockwise direction.
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Pathstatement · cited by 318
- Circlestatement and proof · cited by 227
- Complex.argproof · cited by 220
- Path.segmentproof · cited by 31
- Path.castproof · cited by 22
- Path.mapproof · cited by 21
- Circle.angleDiffproof · cited by 17
Cited by16
Results whose statement or proof uses this declaration.
- Circle.coe_pathstatement · cited by 4
- Circle.path_image_Ioc_of_nestatement · cited by 3
- Circle.disjoint_path_image_Iocstatement and proof · cited by 2
- Circle.path_selfstatement · cited by 2
- Circle.range_pathstatement · cited by 2
- Circle.range_path_inter_range_pathstatement and proof · cited by 2
- Circle.compl_path_image_Iocstatement · cited by 1
- Circle.compl_range_pathstatement and proof · cited by 1
- Circle.path_applystatement · cited by 1
- Circle.path_image_Ioc_unionstatement and proof · cited by 1
- Circle.path_injective_of_nestatement · cited by 1
- Circle.range_path_ssubset_univstatement and proof · cited by 1