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theorem proved term proof

finitePrimeLedgerPartition_insert_prime

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formal statement (Lean)

  44theorem finitePrimeLedgerPartition_insert_prime
  45    (s : ℂ) (S : Finset ℕ) {p : ℕ} (hpS : p ∉ S) (hp : Nat.Prime p) :
  46    finitePrimeLedgerPartition s (insert p S) =
  47      primeLedgerLocalPartition s p * finitePrimeLedgerPartition s S := by

proof body

Term-mode proof.

  48  unfold finitePrimeLedgerPartition
  49  simp [hpS, hp]
  50
  51/-- The Euler ledger partition as a formal infinite product over prime atoms. -/

depends on (5)

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