Theorems · Theorem · general topology
frontier_univ
∀ {X : Type u} [inst : TopologicalSpace X], frontier Set.univ = ∅- Defined in
- Mathlib.Topology.Closure
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.univstatement · cited by 3,945
- frontierstatement · cited by 214
- IsClosed.closure_eqproof · cited by 139
- sdiff_selfproof · cited by 38
- interior_univproof · cited by 24
Cited by3
Results whose statement or proof uses this declaration.
- frontier_prod_univ_eqproof · cited by 1
- frontier_univ_prod_eqproof · cited by 0
- intrinsicFrontier_singletonproof · cited by 0