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Proof step 52 from proof bits2int-pos (previous step)

bits2uint((bitsinvert(fillsgn(8, sgn(true ' + firstn(# bits0 % 8, bits0)))) + bitsinvert(bytes2bits(bits2bytes(restn(# bits0 % 8, bits0)))))+1) = 0, (fillsgn(8, sgn(true ' + firstn(# bits0 % 8, bits0))) + bytes2bits(bits2bytes(restn(# bits0 % 8, bits0)))).first, ~128 ≤ bits2int(true ' + firstn(# bits0 % 8, bits0)), bits2int(true ' + firstn(# bits0 % 8, bits0)) ≤ 127, 7 < # bits0, # bits0 % 8 ≤ 7, # bits0 % 8 < # bits0 ⊦ bits0 = [], (# bits0 + 1) % 8 = 0, fillsgn(8, sgn(true ' + firstn(# bits0 % 8, bits0))) + bytes2bits(bits2bytes(restn(# bits0 % 8, bits0))) = []

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ true ∈ bits → bits2uint(bits) ≠ 0 subst: [bits] → [( bitsinvert (fillsgn(8, sgn(true ' + firstn(# bits0 % 8, bits0)))) + bitsinvert (bytes2bits(bits2bytes(restn(# bits0 % 8, bits0)))) )+1] rotate: F spec: int2bits inst: name: bits2uint-not-zero

Additional information

Used simplifier rules: ⊦ ¬ true ∈ bits → bits2uint(bits) = 0;% ⊦ ¬ true ∈ bits +1 ↔ false; Used terms: ( bitsinvert(fillsgn(8, sgn(true ' + firstn(# bits0 % 8, bits0)))) + bitsinvert(bytes2bits(bits2bytes(restn(# bits0 % 8, bits0)))) )+1