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Proof step 15 from proof lil-carry (previous step)

9223372036854775806 < band(4294967295, j) + band(4294967295, j0), 0 < band(4294967295, j) + band(4294967295, j0), band(4294967295, j0) ≤ 4294967295, band(4294967295, j) ≤ 4294967295 ⊦ band(4294967295, j) + band(4294967295, j0) ≤ 4294967295 + 4294967295, l2i(i2l(1 + band(4294967295, j) + band(4294967295, j0))) = 1 + band(4294967295, j) + band(4294967295, j0)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: i ≤ j, i0 ≤ j0 ⊦ i + i0 ≤ j + j0 subst: [j0, j, i0, i] → [4294967295, 4294967295, band(4294967295, j0), band(4294967295, j)] rotate: F spec: int-abs inst: name: ple

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;% ⊦ band(i, j) = band(j, i);%j0 ≠ 0, j ≤ j0 ⊦ i ≤ (* j) → i ≤ (* j0); Used terms: 4294967295, 4294967295, band(4294967295, j0), band(4294967295, j)