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Proof step 121 from proof fix-bits2bytes-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 122:
⊦ m - n - n0 = m - n + n0
Proof step 123:
# bits = m * 8 + n0, n0 < 8, m < n, 1 + m < n ⊦ n - 1 + m = 0, mklist(false, 8 - n0) + bits = [], n * 8 = # bits, bits = [], n0 = 0, mklist(i2b(0), n - 1 + m) + bits2bytes(bits) = mklist(i2b(0), n - 1 + m) + bits2bytes(mklist(false, 8 - n0) + bits), bits.first

Rule argument

seq: ⊦ m - n - n0 = m - n + n0 subst: [n0, n, m] → [m, 1, n] rotate: F spec: nat inst: name: shift-01

Additional information

Used terms: m, 1, n