Theorems · Theorem · general topology
closure_diff_frontier
Deprecated since 2026-06-03Use closure_sdiff_frontier instead.
∀ {X : Type u} [inst : TopologicalSpace X] (s : Set X), closure s \ frontier s = interior sAlias of closure_sdiff_frontier.
- Defined in
- Mathlib.Topology.Closure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement · cited by 24,529
- closurestatement · cited by 1,254
- interiorstatement · cited by 714
- frontierstatement · cited by 214
- closure_sdiff_frontierproof · cited by 2
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