Theorems · Theorem · general topology
Circle.path_self
∀ (x : Circle), x.path x = Path.refl x
- Cited by
- 2 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.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Set.Elemproof · cited by 7,166
- zero_addproof · cited by 2,366
- Real.piproof · cited by 1,774
- sub_selfproof · cited by 996
- unitIntervalproof · cited by 607
- Pathstatement · cited by 318
- AffineMap.lineMapproof · cited by 254
- Circlestatement and proof · cited by 227
- Complex.argproof · cited by 220
- Circle.expproof · cited by 73
- Path.reflstatement · cited by 36
Cited by2
Results whose statement or proof uses this declaration.
- Circle.range_path_ssubset_univproof · cited by 1
- Circle.isPathConnected_compl_singletonproof · cited by 0