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Proof step 5 from proof cast-law-or-one (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
0 < i ⊦ cast(i, bcompl(j)) = cast(i, bcompl(cast(i, j)))
Proof step 7:
0 < i, 0 < i ⊦ cast(i, bcompl(cast(i, band(bcompl(j), bcompl(j0))))) = cast(i, bcompl(band(bcompl(cast(i, j)), bcompl(j0))))

Rule argument

name: cast-law-compl rotate: F subst: [j, i] → [band(bcompl(j), bcompl(j0)), i]

Additional information

Used terms: band(bcompl(j), bcompl(j0)), i