trureturingGitHub MATHEMATICAL ATLAS

Observer / CONCEPT

Pointwise and Probability Knowledge Separation

Pointwise fiber knowledge implies a.e. knowledge, but not conversely.

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

Pointwise sufficiency implies almost-everywhere sufficiency

RELATIONSHIP ATLAS

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Direct recorded relationships
Pointwise and Probability Knowledge SeparationPointwise and ProbabilityKnowledge Separation
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

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Observer
Node ID
D5/S3/Observer/ProbabilisticClosure/PointwiseAlmostEverywhereSeparation
Repository path
D5/S3/Observer/ProbabilisticClosure/PointwiseAlmostEverywhereSeparation.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.