trureturingGitHub MATHEMATICAL ATLAS

ConceptDynamics / CONCEPT

Definition Closure as an Upstream Closure Operator

The repository semantic definition closure is bundled as Mathlib's canonical closure operator.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH6
DOCUMENT LINKS1
THEOREM

Upstream closed families are exactly semantically closed families

RELATIONSHIP ATLAS

Every connection, in context.

Explore in 3D
Direct recorded relationships
Definition Kernel GaloisDefinition Kernel GaloisDefinition Closure as an Upstream Closure OperatorDefinition Closure as anUpstream Closure Operator
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

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

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.