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Proof step 14 from proof int2bytes-rec-neg-05 (previous step)

# int2bytes(j) = i→n(i) + 1, 0 < i, j + 2 ^ (i * 8 - 1) < 0, 0 < j + 2 ^ (i * 8), 0 < 2 ^ (i * 8) + j, j < 0 ⊦ j = 0, bits2bytes(int2bits(j)) = i2b(~1) ' + int2bytes(j).rest

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ int2bytes(i) = bits2bytes(int2bits(i))
Proof step 16:
# bits2bytes(int2bits(j)) = i→n(i) + 1, 0 < i, j + 2 ^ (i * 8 - 1) < 0, 0 < j + 2 ^ (i * 8), 0 < 2 ^ (i * 8) + j, j < 0 ⊦ j = 0, bits2bytes(int2bits(j)) = i2b(~1) ' + bits2bytes(int2bits(j)).rest

Rule argument

name: int2bytes rotate: F subst: [i] → [j]

Additional information

Used terms: j