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Proof step 4 from proof cast-mult-neg (previous step)

¬(j0 < 0 ∧ ~(2 ^ (i - 1)) ≤ j0 % 2 ^ i ∧ 0 < i), j < 0, j0 < 0, 0 < i ⊦ cast(i, j * 2 ^ i + j0) = cast(i, j0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
j < 0, j0 < 0, 0 < i, 2 ^ (i - 1) + j0 % 2 ^ i < 0 ⊦ cast(i, j * 2 ^ i + j0) = cast(i, j0)

Rule argument

Additional information

Used simplifier rules: ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ ~ i ≤ j ↔ 0 ≤ i + j;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false);% ⊦ ¬ i < j ↔ j ≤ i;