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Proof step 66 from proof bib-neg-high (previous step)

~256 = i0 * 256 + j0, 8 = # fillsgn(8, int2bits(j0)), j0 < 0, i0 < 0, ~128 ≤ j0, ~128 < j0 ⊦ b2i(i2b(bits2int(fillsgn(8, int2bits(j0))))) = j0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 67:
⊦ bits ≠ [] → bits2int(fillsgn(n, bits)) = bits2int(bits)
Proof step 68:
int2bits(j0) ≠ [], ~256 = i0 * 256 + j0, 8 = # fillsgn(8, int2bits(j0)), j0 < 0, i0 < 0, ~128 ≤ j0, ~128 < j0 ⊦ b2i(i2b(bits2int(int2bits(j0)))) = j0

Rule argument

spec: int2bits inst: name: bits2int-fill seq: ⊦ bits ≠ [] → bits2int(fillsgn(n, bits)) = bits2int(bits) subst: [bits, n] → [int2bits(j0), 8] flags: rewrite

Additional information

Used simplifier rules: int2bits-not-empty: ⊦ int2bits(j) ≠ []; from specification int2bits Used terms: int2bits(j0), 8