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Proof step 7 from proof cast-law-or-one (previous step)

0 < i, 0 < i ⊦ cast(i, bcompl(cast(i, band(bcompl(j), bcompl(j0))))) = cast(i, bcompl(band(bcompl(cast(i, j)), bcompl(j0))))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
0 < i ⊦ cast(i, bcompl(cast(i, band(bcompl(j), bcompl(j0))))) = cast(i, bcompl(band(bcompl(cast(i, j)), bcompl(j0))))

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)