trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Quasi-Injectivity Is Not Closed Under Composition

Squaring and collapsing the squares are quasi-injective while their composite is not.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES0
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

Composites need not be quasi-injective

RELATIONSHIP ATLAS

Every connection, in context.

Explore in 3D
Direct recorded relationships
Quasi-Injectivity Is Not Closed Under CompositionQuasi-Injectivity Is Not ClosedUnder Composition
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

None recorded in this release.

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

Structural connections

None recorded in this release.

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/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/QuasiInjectiveCompositionRefutation
Repository path
D5/S3/Combinatorics/QuasiInjectiveCompositionRefutation.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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.