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Proof step 10 from proof short-neq-02 (previous step)

us2i(sho) + 65536 * i = 0 ⊦ us2i(sho) ≤ 0, i = 0, ¬ us2i(sho) ≤ 0 ∧ ¬ i < 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

name: ushort-neg rotate: F subst: [sho] → [sho]

Additional information

Used simplifier rules: ushort-pos: ⊦ 0 ≤ s2i(sho) → us2i(sho) = s2i(sho);%short-neq-01: ⊦ s2i(sho) + 65536 * i = 0 ↔ i = 0 ∧ s2i(sho) = 0;%short-neq-01: ⊦ s2i(sho) + 65536 * i = 0 ↔ i = 0 ∧ s2i(sho) = 0;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i * j + i = i * (j + 1);% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;% ⊦ (* j) = i0 + (* j0) ↔ j - j0 = i0;% ⊦ i + (* j) ≤ (* j0) ↔ i ≤ j0 - j;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false);% ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)% ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) Used terms: sho