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Proof step 9 from proof bits2bytes-2pot (previous step)

# bits2bytes(true ' + mklist(false, 7 + 8 * m)) = m + 1 ⊦ # bits2bytes(true ' + mklist(false, 7 + 8 * m) + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ') = 2 + m

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ 8 < # bits → bits2bytes(bits) = bits2bytes(firstn(# bits - 8, bits)) + i2b(bits2int(lastn(8, bits)))
Proof step 11:
8 < #(true ' + mklist(false, 7 + 8 * m) + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false '), # bits2bytes(true ' + mklist(false, 7 + 8 * m)) = m + 1 ⊦ # ( bits2bytes (firstn (#(true ' + mklist(false, 7 + 8 * m) + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ') - 8, true ' + mklist(false, 7 + 8 * m) + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ')) + i2b(bits2int(lastn(8, true ' + mklist(false, 7 + 8 * m) + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ')))) = 2 + m

Rule argument

name: bits2bytes-rec rotate: F subst: [bits] → [ true ' + mklist(false, 7 + 8 * m) + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ']

Additional information

Used simplifier rules: ⊦ #(bits + bits0) = # bits + # bits0;% ⊦ # boolvar ' = 0 +1;% ⊦ # mklist(boolvar, n) = n;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;%n < n0 ⊦ (* n) < m0 + (* n0);% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m; Used terms: true ' + mklist(false, 7 + 8 * m) + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false '