Theorems · Theorem · general topology
AbstractCompletion.isDenseInducing
∀ {α : Type uα} [inst : UniformSpace α] (pkg : AbstractCompletion.{vα, uα} α), IsDenseInducing pkg.coe- Cited by
- 7 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- IsDenseInducingstatement · cited by 56
- AbstractCompletion.spacestatement · cited by 41
- AbstractCompletionstatement and proof · cited by 41
- AbstractCompletion.uniformStructstatement · cited by 30
- AbstractCompletion.coestatement · cited by 26
- IsUniformInducing.isInducingproof · cited by 23
- AbstractCompletion.denseproof · cited by 5
- AbstractCompletion.isUniformInducingproof · cited by 4
Cited by8
Results whose statement or proof uses this declaration.
- AbstractCompletion.extendproof · cited by 12
- AbstractCompletion.extend_coeproof · cited by 8
- AbstractCompletion.extend_defstatement · cited by 4
- LaurentSeries.valuation_compareproof · cited by 3
- AbstractCompletion.isUniformInducing_extendproof · cited by 1
- AbstractCompletion.compare_comp_eq_comparestatement and proof · cited by 1
- LaurentSeries.valuation_LaurentSeries_equal_extensionstatement and proof · cited by 1
- AbstractCompletion.inseparable_extend_coeproof · cited by 1