trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

The p-adic Precision Blind Spot

Prime-power readings agree through the p-adic valuation of a nonzero difference, and its successor is the first precision that distinguishes the integers.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES3
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DOCUMENT LINKS1
THEOREM

The valuation successor is the first distinguishing precision

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The p-adic Precision Blind SpotThe p-adic Precision Blind SpotObserver Collision OrderObserver Collision OrderP-Adic Observation DistanceP-Adic Observation DistanceInteger Separation by the Prime-Power TowerInteger Separation by thePrime-Power Tower
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Congruence/PadicPrecisionBlindSpot
Repository path
D5/S3/Arith/Congruence/PadicPrecisionBlindSpot.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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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.