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Proof step 50 from proof gcd-rec-sub-01 (previous step)

0 < i ⊦ i0 = 0, gcd(i, i0 + i) = gcd(i, i0), i < i0 + i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 51:
⊦ ¬ i < j ↔ j ≤ i
Proof step 52:
0 < i ⊦ i0 = 0, gcd(i, i0 + i) = gcd(i, i0), ¬ i0 + i ≤ i

Rule argument

spec: int-abs inst: name: lels seq: ⊦ ¬ i < j ↔ j ≤ i subst: [j, i] → [i0 + i, i] flags: rewrite

Additional information

Used terms: i0 + i, i