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Proof step 4 from proof cast-add-2pot-h (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

Used simplifier rules: ⊦ i < 0 ∧ 0 ≤ j → i < j;% ⊦ i < j ∧ j ≤ j0 → i < j0; (forward)% ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward)% ⊦ i < ~ j ↔ i + j < 0;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false);% ⊦ ¬ i < j ↔ j ≤ i;