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Proof step 1 from proof intshiftrsign-zero-01 (conclusion)

⊦ 0 i>> j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ i i>> j = (# int2bits(i) ≤ i→n(band(j, 31)) ⊃ (i < 0 ⊃ ~1;0);bits2int(sublist(0, # int2bits(i) - i→n(band(j, 31)), int2bits(i))))
Proof step 3:
⊦ (# int2bits(0) ≤ i→n(band(j, 31)) ⊃ (0 < 0 ⊃ ~1;0);bits2int(sublist(0, # int2bits(0) - i→n(band(j, 31)), int2bits(0)))) = 0

Rule argument

name: intshiftrsign-if rotate: F subst: [j, i] → [j, 0]

Additional information

Used terms: j, 0