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Proof step 45 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)) + ((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)) + int2bits(i / 2)))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: n ≠ 0 ⊦ sublist(0, (* n), boolvar ' + bits) = boolvar ' + sublist(0, n -1, bits) subst: [bits, boolvar, n] → [mklist(false, i→n(i0)) + int2bits(i / 2), false, # int2bits(i / 2)] rotate: F spec: list-del inst: bitlista name: sublist-num-01

Additional information

Used simplifier rules: ⊦ # bits = 0 ↔ bits = [];% ⊦ int2bits(j) ≠ []; Used terms: mklist(false, i→n(i0)) + int2bits(i / 2), false, # int2bits(i / 2)