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Proof step 7 from proof shiftzero-pos (previous step)

0 ≤ i ⊦ bits2int(firstn(# fillsgn(n, int2bits(i)), mklist(false, i→n(j)) + fillsgn(n, int2bits(i)))) = i >> j

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ i >> j = bits2int(sublist(0, # int2bits(i), mklist(int2bits(i).first, i→n(j)) + int2bits(i)))
Proof step 9:
0 ≤ i ⊦ bits2int(firstn(# fillsgn(n, int2bits(i)), mklist(false, i→n(j)) + fillsgn(n, int2bits(i)))) = bits2int(sublist(0, # int2bits(i), mklist(int2bits(i).first, i→n(j)) + int2bits(i)))

Rule argument

name: shiftrsign-01 rotate: F subst: [j, i] → [j, i]

Additional information

Used terms: j, i