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Proof step 5 from proof intshiftrsign-rec-neg (previous step)

j < 32, i < 0, 0 < j ⊦ bits2int(sublist(0, # int2bits(i), mklist(true, i→n(band(j, 31))) + int2bits(i))) = (i - 1) / 2 i>> (j - 1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ i i>> j = bits2int(sublist(0, # int2bits(i), mklist(int2bits(i).first, i→n(band(j, 31))) + int2bits(i)))
Proof step 7:
j < 32, i < 0, 0 < j ⊦ bits2int(sublist(0, # int2bits(i), mklist(true, i→n(band(j, 31))) + int2bits(i))) = bits2int(sublist(0, # int2bits((i - 1) / 2), mklist(int2bits((i - 1) / 2).first, i→n(band(j - 1, 31))) + int2bits((i - 1) / 2)))

Rule argument

name: intshiftrsign rotate: F subst: [j, i] → [j - 1, (i - 1) / 2]

Additional information

Used terms: j - 1, (i - 1) / 2