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Proof step 5 from proof setInt-theorem (previous step)

fillsgn(4, int2bytes(i)) = by ' + by0 ' + by1 ' + by2 ', by ∈ fillsgn(4, int2bytes(i)), by2 ∈ fillsgn(4, int2bytes(i)) ⊦ by = i2b(i >> 24) ∧ by0 = i2b(i i>> 16) ∧ by1 = i2b(i i>> 8) ∧ by2 = i2b(i)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ j i>> i = j >> band(i, 31)
Proof step 7:
fillsgn(4, int2bytes(i)) = by ' + by0 ' + by1 ' + by2 ', by ∈ fillsgn(4, int2bytes(i)), by2 ∈ fillsgn(4, int2bytes(i)) ⊦ by = i2b(i >> 24) ∧ by0 = i2b(i >> band(16, 31)) ∧ by1 = i2b(i i>> 8) ∧ by2 = i2b(i)

Rule argument

spec: intops inst: name: intshiftright-def-unbounded seq: ⊦ j i>> i = j >> band(i, 31) subst: [i, j] → [16, i] flags: rewrite

Additional information

Used terms: 16, i