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Proof step 23 from proof cast-law-mult-pos (previous step)

0 ≤ j, 0 < i ⊦ 0 < j % 2 ^ i, cast(i, j * j0) = cast(i, cast(i, j) * j0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 24:
j % 2 ^ i = 0, 0 ≤ j, 0 < i ⊦ cast(i, j * j0) = cast(i, cast(i, j) * j0)

Rule argument

Additional information

Used simplifier rules: ⊦ 0 ≤ j ∧ 0 < i → (j % 2 ^ i ≤ 0 ↔ j % 2 ^ i = 0);% ⊦ ¬ i < j ↔ j ≤ i;