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Proof step 156 from proof fix-bits2bytes-01 (previous step)

# bits = n0 * 8, n0 < n, n0 + 1 < n, 8 ≤ (n - n0) * 8 ⊦ mklist(i2b(0), n - n0) = bits2bytes(false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ') + bits2bytes(mklist(false, (n - n0) * 8 - 8)), bits = [], n = n0, bits.first

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 157:
⊦ # bits ≤ 8 → bits2bytes(bits) = i2b(bits2int(bits)) '
Proof step 158:
#(false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ') ≤ 8, # bits = n0 * 8, n0 < n, n0 + 1 < n, 8 ≤ (n - n0) * 8 ⊦ mklist(i2b(0), n - n0) = i2b(bits2int(false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ')) ' + bits2bytes(mklist(false, (n - n0) * 8 - 8)), bits = [], n = n0, bits.first

Rule argument

name: bits2bytes-base rotate: F subst: [bits] → [ false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ']

Additional information

Used simplifier rules: ⊦ #(bits + bits0) = # bits + # bits0;% ⊦ # boolvar ' = 0 +1;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1; Used terms: false ' + false ' + false ' + false ' + false ' + false ' + false ' + false '