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Proof step 6 from proof short-max-11 (previous step)

32768 ≤ 65536 * i + s2i(sho), i < 0, 0 < 65536 * i + s2i(sho), 0 ≤ 65536 * i + s2i(sho) ⊦ 0 < 65536 * i + 32768, i = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ i + j = j + i
Proof step 8:
32768 ≤ 65536 * i + s2i(sho), i < 0, 0 < 65536 * i + s2i(sho), 0 ≤ 65536 * i + s2i(sho) ⊦ 0 < 32768 + 65536 * i, i = 0

Rule argument

seq: ⊦ i + j = j + i subst: [j, i] → [32768, 65536 * i] rotate: F spec: int-basic2 inst: name: add-c

Additional information

Used simplifier rules: ⊦ i * j = j * i; Used terms: 32768, 65536 * i