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Proof step 15 from proof intshiftrsign32 (previous step)

band(j, 31) = 0, # int2bits(i) ≤ 32 ⊦ i = bits2int(fillsgn(32, int2bits(i)))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int2bits inst: name: bits2int-fill seq: ⊦ bits ≠ [] → bits2int(fillsgn(n, bits)) = bits2int(bits) subst: [bits, n] → [int2bits(i), 32] flags: rewrite

Additional information

Used simplifier rules: int2bits-not-empty: ⊦ int2bits(j) ≠ []; from specification int2bits%int2int-inj: ⊦ bits2int(int2bits(i)) = i; from specification int2bits Used terms: int2bits(i), 32