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Proof step 183 from proof fix-bits2bytes-01 (previous step)

# bits = m * 8 + n0, bits.first, # bits2bytes(bits) < n, m * 8 + n0 < 8 * n, n0 < 8, m < n ⊦ mklist(i2b(~1), n - # bits2bytes(bits)) + bits2bytes(bits) = bits2bytes(mklist(true, (n - 1 - m) * 8 + (8 - n0)) + bits), bits = [], n * 8 = m * 8 + n0, n0 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 184:
⊦ mklist(boolvar, m + n) = mklist(boolvar, m) + mklist(boolvar, n)
Proof step 185:
# bits = m * 8 + n0, bits.first, # bits2bytes(bits) < n, m * 8 + n0 < 8 * n, n0 < 8, m < n ⊦ mklist(i2b(~1), n - # bits2bytes(bits)) + bits2bytes(bits) = bits2bytes((mklist(true, (n - 1 - m) * 8) + mklist(true, 8 - n0)) + bits), bits = [], n * 8 = m * 8 + n0, n0 = 0

Rule argument

seq: ⊦ mklist(boolvar, m + n) = mklist(boolvar, m) + mklist(boolvar, n) subst: [n, m, boolvar] → [8 - n0, (n - 1 - m) * 8, true] rotate: F spec: list-last inst: bitlista name: mk-plus

Additional information

Used terms: 8 - n0, (n - 1 - m) * 8, true