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Proof step 33 from proof intshiftrsign-rec-pos (previous step)

i0 < 31, 0 ≤ i, 0 ≤ i0, 1 < i, 0 < i ⊦ bits2int ( sublist(0, # int2bits(i / 2), (false ' + mklist(false, i→n(i0))) + int2bits(i / 2) + (i % 2 = 1)') + ((false ' + mklist(false, i→n(i0))) + int2bits(i / 2) + (i % 2 = 1)')[# int2bits(i / 2)] ') = bits2int(sublist(0, # int2bits(i / 2), mklist(false, i→n(i0 % 32)) + int2bits(i / 2)))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ abs(i) < j → i % j = i subst: [j, i] → [32, i0] rotate: F spec: int-div inst: name: mod-zero-05

Additional information

Used simplifier rules: ⊦ 0 ≤ i → abs(i) = i;%j0 ≠ 0, j < j0 ⊦ i < (* j) → i < (* j0); Used terms: 32, i0