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Proof step 5 from proof prime-43 (previous step)

43 % i = 0, 1 < i, 0 < i, i * i ≤ 43 ⊦ 7 * 7 ≤ i * i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ i * i ≤ j * j ↔ abs(i) ≤ abs(j)
Proof step 7:
43 % i = 0, 0 < i, 1 < i, i * i ≤ 43 ⊦ abs(7) ≤ abs(i)

Rule argument

spec: int-mult name: square-le seq: ⊦ i * i ≤ j * j ↔ abs(i) ≤ abs(j) subst: [j, i] → [i, 7] flags: <all paths>

Additional information

Used terms: i, 7