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Proof step 2 from proof short-add-pos-01 (previous step)

s2i(sho) + s2i(sho0) ≤ 32767, 0 < s2i(sho), 0 ≤ s2i(sho0) ⊦ s2i(i2s(s2i(sho) + s2i(sho0))) = s2i(sho) + s2i(sho0)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

name: short-add-pos rotate: F subst: [sho0, sho] → [sho0, sho]

Additional information

Used simplifier rules: ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;%j0 ≠ 0, j ≤ j0 ⊦ i ≤ (* j) → i ≤ (* j0);% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i < j → ¬ j < i;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false); Used terms: sho0, sho