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

i0 < 31, 0 ≤ i, 0 ≤ i0 ⊦ i i>> (i0 + 1) = bits2int(sublist(0, # int2bits(i / 2), mklist(false, i→n(band(i0, 31))) + int2bits(i / 2)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ i i>> j = bits2int(sublist(0, # int2bits(i), mklist(int2bits(i).first, i→n(band(j, 31))) + int2bits(i)))
Proof step 9:
i0 < 31, 0 ≤ i, 0 ≤ i0 ⊦ bits2int(sublist(0, # int2bits(i), mklist(int2bits(i).first, i→n(band(i0 + 1, 31))) + int2bits(i))) = bits2int(sublist(0, # int2bits(i / 2), mklist(false, i→n(band(i0, 31))) + int2bits(i / 2)))

Rule argument

name: intshiftrsign rotate: F subst: [j, i] → [i0 + 1, i]

Additional information

Used terms: i0 + 1, i