`PrimeLedgerCert`

definition

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module: IndisputableMonolith.NumberTheory.PrimeLedgerAtom
domain: NumberTheory
line: 61 · github
papers citing: none yet

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IndisputableMonolith.NumberTheory.PrimeLedgerAtom on GitHub at line 61.

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formal source

  58    IntegerLedgerState p := hp.pos
  59
  60/-- Certificate for the arithmetic base of the prime ledger. -/
  61structure PrimeLedgerCert where
  62  atom_iff_prime : ∀ p : ℕ, PrimeLedgerAtom p ↔ Nat.Prime p
  63  one_not_atom : ¬ PrimeLedgerAtom 1
  64  prime_positive : ∀ {p : ℕ}, Nat.Prime p → IntegerLedgerState p
  65
  66/-- The prime ledger certificate. -/
  67def primeLedgerCert : PrimeLedgerCert where
  68  atom_iff_prime := primeLedgerAtom_iff_prime
  69  one_not_atom := one_not_primeLedgerAtom
  70  prime_positive := prime_is_positive_ledger_state
  71
  72end NumberTheory
  73end IndisputableMonolith

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