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Proof step 2 from proof shiftzero-zero-size-01 (previous step)

i < 0 ⊦ >>>(0, i, j) = (2 ^ n→i(# int2bits(i)) + i) >> j, j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ j ≠ 0 → >>>(0, i, j) = bits2uint(int2bits(i)) >> j
Proof step 4:
j ≠ 0, i < 0 ⊦ bits2uint(int2bits(i)) >> j = (2 ^ n→i(# int2bits(i)) + i) >> j, j = 0

Rule argument

name: shiftzero-zero-size rotate: F subst: [j, i] → [j, i]

Additional information

Used terms: j, i