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Proof step 3 from proof fits-law-band (previous step)

⊦ band(b2i(by1), b2i(by2)) = cast(8, band(b2i(by1), b2i(by2)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ n→i(# int2bits(j)) ≤ i → cast(i, j) = j
Proof step 5:
¬ n→i(# int2bits(band(b2i(by1), b2i(by2)))) ≤ 8 ⊦ band(b2i(by1), b2i(by2)) = cast(8, band(b2i(by1), b2i(by2)))

Rule argument

seq: ⊦ n→i(# int2bits(j)) ≤ i → cast(i, j) = j subst: [j, i] → [band(b2i(by1), b2i(by2)), 8] rotate: F spec: intops inst: name: cast-size-fits

Additional information

Used simplifier rules: ⊦ band(i, j) = band(j, i); Used terms: band(b2i(by1), b2i(by2)), 8