Theorems · Theorem · general topology
Circle.range_path_ssubset_univ
∀ (x y : Circle), Set.range ⇑(x.path y) ⊂ Set.univ
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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.rangestatement and proof · cited by 4,705
- Set.univstatement · cited by 3,945
- Compl.complproof · cited by 2,925
- Set.Nonemptyproof · cited by 2,627
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- eq_or_neproof · cited by 1,117
- unitIntervalstatement · cited by 607
Cited by1
Results whose statement or proof uses this declaration.
- Circle.not_isPreconnected_compl_pairproof · cited by 0