trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Wilson's Theorem

The factorial of one less than a prime is congruent to minus one modulo that prime.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

The factorial before a prime is minus one modulo the prime

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Direct recorded relationships
Wilson's TheoremWilson's TheoremThe Half-Factorial Criterion for Minus OneThe Half-Factorial Criterionfor Minus One
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Certified topology / DOWNSTREAM

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