Theorems · Theorem · general topology
UniformSpace.Completion.isDenseInducing_coe
∀ {α : Type u_1} [inst : UniformSpace α], IsDenseInducing UniformSpace.Completion.coe'- Defined in
- Mathlib.Topology.UniformSpace.Completion
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 90 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.
Cites8
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
- Topology.IsInducingproof · cited by 266
- UniformSpace.Completionstatement · cited by 192
- UniformSpace.Completion.coe'statement and proof · cited by 144
- IsDenseInducingstatement · cited by 56
- IsUniformInducing.isInducingproof · cited by 23
- UniformSpace.Completion.denseRange_coeproof · cited by 9
- UniformSpace.Completion.isUniformInducing_coeproof · cited by 2
Cited by12
Results whose statement or proof uses this declaration.
- UniformSpace.Completion.coe_mulproof · cited by 6
- UniformSpace.Completion.hatInvproof · cited by 4
- UniformSpace.Completion.isDenseInducing_toComplproof · cited by 3
- Valued.extension_extendsproof · cited by 2
- UniformSpace.Completion.hatInv_extendsproof · cited by 2
- Valued.continuous_extensionproof · cited by 2
- UniformSpace.Completion.continuous_hatInvproof · cited by 1
- UniformSpace.Completion.inner_coeproof · cited by 1
- UniformSpace.Completion.isDenseEmbedding_coeproof · cited by 1
- NormedAddCommGroup.denseRange_toComplproof · cited by 0
- NormedAddGroupHom.ker_completionproof · cited by 0
- UniformSpace.Completion.mul_hatInv_cancelproof · cited by 0