Theorems · Theorem · general topology
Circle.path_apply
∀ (x y : Circle) (a : ↑unitInterval), (x.path y) a = Circle.exp ((Path.segment (↑x).arg (x.angleDiff y + (↑x).arg)) a)
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Realstatement · cited by 25,697
- Set.Elemstatement and proof · cited by 7,166
- Complexstatement · cited by 5,565
- Submonoidstatement · cited by 3,086
- ContinuousMapstatement · cited by 2,491
- unitIntervalstatement and proof · cited by 607
- Pathstatement · cited by 318
- AffineMap.lineMapproof · cited by 254
- Circlestatement and proof · cited by 227
- Complex.argstatement and proof · cited by 220
- Submonoid.unitSpherestatement · cited by 85
Cited by1
Results whose statement or proof uses this declaration.
- Circle.coe_pathproof · cited by 4