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Proof step 16 from proof shiftzero-minus-one (previous step)

⊦ j = 0, n = 0, bits2int(firstn(# fillsgn(n, true '), mklist(false, i→n(j)) + fillsgn(n, true '))) = bits2int(firstn(1 + n, mklist(false, i→n(j)) + false ' + mklist(true, n)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ 0 < n → fillsgn(n, boolvar ') = mklist(boolvar, n)
Proof step 18:
0 < n ⊦ j = 0, n = 0, bits2int(firstn(# mklist(true, n), mklist(false, i→n(j)) + mklist(true, n))) = bits2int(firstn(1 + n, mklist(false, i→n(j)) + false ' + mklist(true, n)))

Rule argument

seq: ⊦ 0 < n → fillsgn(n, boolvar ') = mklist(boolvar, n) subst: [boolvar, n] → [true, n] rotate: F spec: bitopsaux inst: name: fill-rec-one

Additional information

Used simplifier rules: ⊦ 0 < n ↔ n ≠ 0; Used terms: true, n