Theorems · Theorem · general topology
AbstractCompletion.dense
∀ {α : Type u} [inst : UniformSpace α] (self : AbstractCompletion.{v, u} α), DenseRange self.coeThe map into the completion has dense range.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- UniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniformSpacestatement and proof · cited by 2,040
- DenseRangestatement · cited by 164
- AbstractCompletion.spacestatement · cited by 41
- AbstractCompletionstatement and proof · cited by 41
- AbstractCompletion.uniformStructstatement · cited by 30
- AbstractCompletion.coestatement · cited by 26
Cited by6
Results whose statement or proof uses this declaration.
- AbstractCompletion.extendproof · cited by 12
- AbstractCompletion.isDenseInducingproof · cited by 7
- AbstractCompletion.uniformContinuous_extendproof · cited by 5
- AbstractCompletion.induction_onproof · cited by 2
- UniformSpace.Completion.nonempty_completion_iffproof · cited by 0
- AbstractCompletion.closure_rangeproof · cited by 0