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Proof step 59 from proof rightshift-8-01-01 (previous step)

2 ^ (8 * abs(j)) = 0 ⊦ 0 / 0 = 0, j = 0, 0 % 0 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 60:
⊦ 0 ≤ j → 2 ^ j ≠ 0

Rule argument

seq: ⊦ 0 ≤ j → 2 ^ j ≠ 0 subst: [j] → [8 * abs(j)] rotate: F spec: int-pot inst: name: two-zero

Additional information

Used simplifier rules: ⊦ 0 < i → (0 ≤ i * j ↔ 0 ≤ j);% ⊦ 0 ≤ abs(i);% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i; Used terms: 8 * abs(j)