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Proof step 6 from proof byte-nls-02 (previous step)

~128 ≤ b2i(by), b2i(by) < 0, 0 ≤ i, 0 < i, i + b2i(by) < 0, 128 ≤ i ⊦ 128 + b2i(by) < 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ i + j < j0 ∧ i0 ≤ i → i0 + j < j0 subst: [i, j, j0, i0] → [i, b2i(by), 0, 128] rotate: F spec: int-abs inst: name: estimate-add1-ls-left

Additional information

Used simplifier rules: byte-nls: ⊦ ¬ b2i(by) < ~128;% ⊦ i + (* j) < (* j0) ↔ i < j0 - j;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false);%i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j; Used terms: i, b2i(by), 0, 128