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Proof step 7 from proof intshiftzero-mone (previous step)

⊦ bits2int (sublist (0, 32, mklist(false, i→n(bits2int(bitsand(int2bits(16), int2bits(31))))) + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ')) = 65535

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ 0 ≤ i → int2bits(i) = uint2bits(i)
Proof step 9:
0 ≤ 16 ⊦ bits2int (sublist (0, 32, mklist(false, i→n(bits2int(bitsand(uint2bits(16), int2bits(31))))) + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ' + true ')) = 65535

Rule argument

seq: ⊦ 0 ≤ i → int2bits(i) = uint2bits(i) subst: [i] → [16] rotate: F spec: int2bits inst: name: int2bits-pos

Additional information

Used terms: 16