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Proof step 5 from proof max_exp-zero (previous step)

0 ≤ i + j0, 2 ≤ i + j0, i | i + j0, 1 < i, 0 < i, 0 < j0, j0 < i, prime(i) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-gcd inst: name: divides-add seq: ⊦ i | j → (i | j + j0 ↔ i | j0) subst: [j0, j, i] → [j0, i, i] flags: rewrite

Additional information

Used simplifier rules: div-zero: ⊦ i | i; from specification int-gcd%div-not-ls: ⊦ i < j ∧ 0 < i → ¬ j | i; from specification int-gcd%divides-prime: ⊦ prime(j) → (i | j ↔ abs(i) = j ∨ abs(i) = 1); from specification int-gcd%abs: ⊦ 1 < i → abs(i) = i; from specification int-abs Used terms: j0, i, i