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Proof step 7 from proof short-mod-add-01 (previous step)

s2i(sho) < 0, 0 ≤ s2i(sho0) + s2i(sho) ⊦ (s2i(sho0) + s2i(sho)) % 65536 = s2i(sho0) + s2i(sho)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

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

Additional information

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