trureturingGitHub MATHEMATICAL ATLAS

Factorization / CONCEPT

The Rational p-adic Product Formula

The usual rational norm and all prime-indexed p-adic norms satisfy the product formula.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Only finitely many p-adic factors are nontrivial

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Rational Recovery from Finite ValuationsRational Recovery from FiniteValuationsThe Rational p-adic Product FormulaThe Rational p-adic ProductFormula
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Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

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None recorded in this release.

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Factorization
Node ID
D5/S3/Factorization/Embeddings/RationalPadicProductFormula
Repository path
D5/S3/Factorization/Embeddings/RationalPadicProductFormula.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.