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Proof step 60 from proof bib-neg-high (previous step)

j0 < 0, i0 < 0, i0 * 256 + j0 ≤ ~256, ~128 ≤ j0, i0 * 256 + j0 < 0, ~128 < j0 ⊦ 8 = # fillsgn(8, int2bits(j0)), b2i(i2b(bits2int(lastn(8, int2bits(i0 - 1) + fillsgn(8, int2bits(j0)))))) = j0, ~256 ≠ i0 * 256 + j0 ∧ lastn(8, int2bits(i0 - 1) + fillsgn(8, int2bits(j0))).first

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: bitopsaux inst: name: fill-length seq: ⊦ # bits ≤ n → # fillsgn(n, bits) = n subst: [bits, n] → [int2bits(j0), 8] flags: rewrite

Additional information

Used terms: int2bits(j0), 8