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Proof step 30 from proof int2bytes-rec255-neg (previous step)

i < 0, i < ~128, 2 < # int2bytes(i % 256) ⊦ lastn(2, int2bytes(i % 256)).rest = int2bytes(i % 256).last ', 2 = # int2bytes(i % 256), ¬ i % 256 < ~256 ∧ ¬ ~128 ≤ i % 256

User applied rule case distinction

And obtained the following new goals

Proof step 31:
i < 0, i < ~128, 2 < # int2bytes(i % 256) ⊦ ¬ i % 256 < ~256, lastn(2, int2bytes(i % 256)).rest = int2bytes(i % 256).last ', 2 = # int2bytes(i % 256)
Proof step 36:
i < 0, i < ~128, 2 < # int2bytes(i % 256) ⊦ ¬ ~128 ≤ i % 256, lastn(2, int2bytes(i % 256)).rest = int2bytes(i % 256).last ', 2 = # int2bytes(i % 256)

Rule argument

pos: right 3

Proof step 30 from proof int2bytes-rec255-neg (previous step)

User applied rule case distinction

And obtained the following new goals

Rule argument

Additional information