Corpus formal_theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Formal theorem cid005346FTH0084canonicalv1

prime_atom (theorem)

/-- [I.R30] Prime atom theorem: if p is prime, then Set(α_p) = {1, p}. The only divisors of a prime are 1 and itself. -/

Formalization

lean_axiom_freesorries: 0project axioms: 0
  • ModuleTauLib.BookI.Sets.OrbitSets
  • Declarationprime_atom
  • Lean toolchainleanprover/lean4:v4.x.x

Identifiers

  • Corpus ID cid005346
  • Primary alias FTH0084
  • Type Formal theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

prime_atomprime-atomTauLib.BookI.Sets.OrbitSets::prime_atom

Release lines

corpus_v2corpus_v3_working

Version & History

  • v1 · 2026-05-10 imported from v2 taulib declarations

Status disclaimer

A Corpus Item page reports the program's current internal record for this item. It does not imply external verification, scientific consensus, or final proof unless explicitly stated. Read it together with its dependencies, formalization status, and the program's overall stance.

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