Theorems · Theorem · general topology
Circle.range_path
∀ (x y : Circle), Set.range ⇑(x.path y) = ⇑Circle.exp '' Set.Icc (↑x).arg (x.angleDiff y + (↑x).arg)
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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 and proof · cited by 7,166
- Set.imagestatement and proof · cited by 5,609
- Complexstatement · cited by 5,565
- Set.rangestatement and proof · cited by 4,705
- Submonoidstatement · cited by 3,086
- ContinuousMapstatement · cited by 2,491
- Set.Iccstatement and proof · cited by 1,702
- unitIntervalstatement and proof · cited by 607
- Pathstatement · cited by 318
Cited by2
Results whose statement or proof uses this declaration.
- Circle.range_path_union_range_pathproof · cited by 1
- Circle.compl_range_pathproof · cited by 1