Theorems · Theorem · general topology
TopologicalSpace.NonemptyCompacts.dense_setOfPred_finite
∀ {α : Type u_1} [inst : TopologicalSpace α], Dense {K | (↑K).Finite}- Defined in
- Mathlib.Topology.Sets.VietorisTopology
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- SetLike.coestatement · cited by 8,199
- Set.ofPredstatement · cited by 6,101
- Set.Finitestatement · cited by 1,814
- Densestatement · cited by 359
- TopologicalSpace.NonemptyCompactsstatement · cited by 137
- Topology.IsOpenEmbedding.isOpenMapproof · cited by 50
- Dense.preimageproof · cited by 8
- TopologicalSpace.NonemptyCompacts.isOpenEmbedding_toCompactsproof · cited by 5
- TopologicalSpace.Compacts.dense_setOfPred_finiteproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- TopologicalSpace.NonemptyCompacts.dense_setOf_finiteproof · cited by 0