trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Existence of Prime Factorization

Every natural number greater than one is a product of finitely many primes.

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

Every natural number above one is a product of primes

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Existence of Prime FactorizationExistence of PrimeFactorization
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

None recorded in this release.

Certified topology / DOWNSTREAM

Consequences

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RELATED KNOWLEDGE

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/PrimeFactorization
Repository path
D5/S3/Arith/PrimeFactorization.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.