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

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

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