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Proof step 16 from proof cast-size-fits (previous step)

0 < j, j < 2 ^ i0, 0 ≤ i0, 2 ^ i0 + j < 0, 0 < i0 ⊦ cast(i0 + 1, j) = j

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ 0 ≤ i ∧ 0 ≤ j → ¬ i + j < 0 subst: [j, i] → [j, 2 ^ i0] rotate: F spec: int-abs inst: name: zero-gs

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;% ⊦ ¬ 2 ^ i < 0;% ⊦ i < j → ¬ j < i; Used terms: j, 2 ^ i0