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Proof step 16 from proof middle-coef-divides-not (previous step)

j | fac(2 * i), (fac(2 * i - i) * fac(i)) * i0 = fac(2 * i), 0 ≤ i, 0 < i, prime(j), 2 * i < j, j | i0 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: prime-fac-divides-not seq: ⊦ prime(i) ∧ j < i ∧ 0 < j → ¬ i | fac(j) subst: [j, i] → [2 * i, j] flags: rewrite, current

Additional information

Used simplifier rules: zero-gr: ⊦ 0 < i → (0 < i * j ↔ 0 < j); from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult Used terms: 2 * i, j