Theorems · Theorem · general topology
Dense.denseRange_val
∀ {X : Type u_1} [inst : TopologicalSpace X] {s : Set X}, Dense s → DenseRange Subtype.val- Defined in
- Mathlib.Topology.Continuous
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 20 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Densestatement and proof · cited by 359
- DenseRangestatement · cited by 164
- denseRange_subtype_valproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- Dense.isDenseInducing_valproof · cited by 8
- Dense.exists_countable_dense_subsetproof · cited by 2
- Dense.uniformContinuous_extendproof · cited by 1
- LinearPMap.adjointDomainMkCLMExtend_applyproof · cited by 1
- Dense.isDenseEmbedding_valproof · cited by 0
- Dense.extend_existsproof · cited by 0
- Dense.extend_specproof · cited by 0