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Proof step 26 from proof shiftright-rec-neg (previous step)

⊦ j = 0, bits2int((mklist(true, i→n(j)) + true ').first ') = bits2int((mklist(true, i→n(abs(j) - 1)) + true ').first ')

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 27:
⊦ n ≠ 0 → ((mklist(boolvar, n) + bits).first ↔ boolvar)
Proof step 28:
i→n(j) ≠ 0 ⊦ j = 0, bits2int(true ') = bits2int((mklist(true, i→n(abs(j) - 1)) + true ').first ')

Rule argument

seq: ⊦ n ≠ 0 → ((mklist(boolvar, n) + bits).first ↔ boolvar) subst: [bits, n, boolvar] → [true ', i→n(j), true] rotate: F spec: list-last inst: bitlista name: mk-first

Additional information

Used simplifier rules: ⊦ i→n(i) = 0 ↔ i = 0; Used terms: true ', i→n(j), true