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Proof step 34 from proof bits2int-pos (previous step)

7 < # bits0, # bits0 % 8 ≤ 7, # bits0 % 8 < # bits0, 0 ≤ bits2int(fillsgn(8, int2bits(b2i(i2b(bits2int(true ' + firstn(# bits0 % 8, bits0)))))) + bytes2bits(bits2bytes(restn(# bits0 % 8, bits0)))) ⊦ ¬ bits2int(true ' + firstn(# bits0 % 8, bits0)) < ~128, bits0 = [], (# bits0 + 1) % 8 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 35:
bits2int(true ' + firstn(# bits0 % 8, bits0)) < ~128, 7 < # bits0, # bits0 % 8 ≤ 7, # bits0 % 8 < # bits0, 0 ≤ bits2int(fillsgn(8, int2bits(b2i(i2b(bits2int(true ' + firstn(# bits0 % 8, bits0)))))) + bytes2bits(bits2bytes(restn(# bits0 % 8, bits0)))), bits2int(true ' + firstn(# bits0 % 8, bits0)) < 0 ⊦ bits0 = [], (# bits0 + 1) % 8 = 0

Rule argument

Additional information

Used simplifier rules: ⊦ i < 0 ∧ 0 ≤ j → i < j;% ⊦ i < j ∧ j ≤ j0 → i < j0; (forward)% ⊦ i < (* j) ∧ j < 0 → i < 0; (forward)