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Proof step 42 from proof shiftright-rec-pos (previous step)

mklist(false, i→n(i0)) + false ' + false ' + true ' = false ' + true ' + bits1, mklist(false, i→n(i0)) + false ' = false ' + bits, 0 ≤ i0 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: n ≠ 0 ⊦ mklist(false, (* n)) = false ' + mklist(false, n -1) subst: [n] → [i→n(i0)] rotate: F spec: bitlista inst: name: mklist-num

Additional information

Used simplifier rules: ⊦ i→n(i) = 0 ↔ i = 0;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ mklist(boolvar, 0) = [];% ⊦ [] + bits = bits;% ⊦ boolvar ' = boolvar0 ' + bits ↔ (boolvar ↔ boolvar0) ∧ bits = [];% ⊦ bits + bits0 = bits + bits1 ↔ bits0 = bits1;%⊦ boolvar ' + bits = boolvar0 ' + bits0 ↔ (boolvar ↔ boolvar0) ∧ bits = bits0; Used terms: i→n(i0)