trureturingGitHub MATHEMATICAL ATLAS

Naming / CONCEPT

Density of the Canonical Completion Map

The canonical map from a metric space into its completion has dense range.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

The canonical completion map has dense range

RELATIONSHIP ATLAS

Every connection, in context.

Explore in 3D
Direct recorded relationships
Density of the Canonical Completion MapDensity of the CanonicalCompletion MapResidual Complement of the Canonical Completion ImageResidual Complement of theCanonical Completion Image
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

None recorded in this release.

Certified topology / DOWNSTREAM

Consequences

RELATED KNOWLEDGE

Structural connections

Documents & exposition

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

Content history

Loading release versions...
Browse the archive

Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S0
Domain
Naming
Node ID
D5/S0/Naming/CompletionEmbeddingDense
Repository path
D5/S0/Naming/CompletionEmbeddingDense.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.