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Proof step 20 from proof sis-on-bits (previous step)

16 = # fillsgn(16, int2bits(i)), ~32768 ≤ i, i ≤ 32767 ⊦ i = bits2int(fillsgn(16, int2bits(i)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 21:
⊦ bits ≠ [] → bits2int(fillsgn(n, bits)) = bits2int(bits)

Rule argument

seq: ⊦ bits ≠ [] → bits2int(fillsgn(n, bits)) = bits2int(bits) subst: [bits, n] → [int2bits(i), 16] rotate: F spec: int2bits inst: name: bits2int-fill

Additional information

Used simplifier rules: ⊦ bits2int(int2bits(i)) = i;% ⊦ int2bits(j) ≠ []; Used terms: int2bits(i), 16