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Proof step 74 from proof intshiftrsign-rec-pos (previous step)

# int2bits(i / 2) = m + 1, 0 ≤ i, i0 < 31, mklist(false, i→n(i0)).first, 0 < i, 1 < i, 0 < i0 ⊦ m = 0, mklist(false, i→n(i0)) + int2bits(i / 2) = [], bits2uint(true ' + sublist(0, m - 1, mklist(false, i→n(i0)).rest + int2bits(i / 2)) + (mklist(false, i→n(i0)) + int2bits(i / 2))[m] ') = bits2int(true ' + sublist(0, m - 1, mklist(false, i→n(i0)).rest + int2bits(i / 2)) + (mklist(false, i→n(i0)) + int2bits(i / 2))[m] '), i0 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ m ≠ 0 → mklist(boolvar, m) = boolvar + mklist(boolvar, m - 1) subst: [m, boolvar] → [i→n(i0), false] rotate: F spec: list-last inst: bitlista name: mk-rec

Additional information

Used simplifier rules: ⊦ boolvar + bits = boolvar ' + bits;% ⊦ boolvar ' + bits ≠ [];% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ (boolvar ' + bits).rest = bits;% ⊦ i→n(i) = 0 ↔ i = 0;% ⊦ (boolvar ' + bits).first ↔ boolvar; Used terms: i→n(i0), false