Theorems · Theorem · general topology
UniformSpace.Completion.denseRange_coe
∀ {α : Type u_1} [inst : UniformSpace α], DenseRange UniformSpace.Completion.coe'- Defined in
- Mathlib.Topology.UniformSpace.Completion
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 88 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
- UniformSpace.Completionstatement · cited by 192
- DenseRangestatement · cited by 164
- UniformSpace.Completion.coe'statement · cited by 144
- Function.Surjective.denseRangeproof · cited by 21
- SeparationQuotient.surjective_mkproof · cited by 12
- SeparationQuotient.continuous_mkproof · cited by 9
- DenseRange.compproof · cited by 9
- CauchyFilter.denseRange_pureCauchyproof · cited by 5
Cited by10
Results whose statement or proof uses this declaration.
- UniformSpace.Completion.cPkgproof · cited by 23
- UniformSpace.Completion.isDenseInducing_coeproof · cited by 11
- UniformSpace.Completion.induction_onproof · cited by 8
- Valued.continuous_extensionproof · cited by 2
- UniformSpace.Completion.denseRange_coe₂proof · cited by 2
- NumberField.InfinitePlace.Completion.denseRange_coeproof · cited by 1
- Valued.closure_coe_completion_v_ltproof · cited by 1
- UniformSpace.Completion.denseRange_coe₃proof · cited by 1
- IsDedekindDomain.HeightOneSpectrum.denseRange_algebraMapproof · cited by 0
- Valued.exists_coe_eq_vproof · cited by 0