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Proof step 2 from proof intshiftright-ls-01 (previous step)

j < 32, 0 ≤ j ⊦ i i>> j < 0 ↔ ¬ 0 ≤ i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ i i>> j = bits2int(sublist(0, # int2bits(i), mklist(int2bits(i).first, i→n(band(j, 31))) + int2bits(i)))
Proof step 4:
j < 32, 0 ≤ j ⊦ bits2int(sublist(0, # int2bits(i), mklist(int2bits(i).first, i→n(band(j, 31))) + int2bits(i))) < 0 ↔ ¬ 0 ≤ i

Rule argument

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

Additional information

Used terms: j, i