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Proof step 7 from proof shiftright-rec-pos (previous step)

0 ≤ i, 0 ≤ i0 ⊦ bits2int(sublist(0, # int2bits(i), (mklist(false, i→n(i0)) + false ') + int2bits(i))) = i / 2 >> i0

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, 0 ≤ i0 ⊦ bits2int(sublist(0, # int2bits(i), (mklist(false, i→n(i0)) + false ') + int2bits(i))) = bits2int(sublist(0, # int2bits(i / 2), mklist(int2bits(i / 2).first, i→n(i0)) + int2bits(i / 2)))

Rule argument

name: shiftrsign-01 rotate: F subst: [j, i] → [i0, i / 2]

Additional information

Used terms: i0, i / 2