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Proof step 13 from proof shiftzero-minus-one (previous step)

⊦ j = 0, n = 0, bits2int(firstn(# fillsgn(n, int2bits(~1)), mklist(false, i→n(j)) + fillsgn(n, int2bits(~1)))) = 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 14:
⊦ i + 1 = 0 → int2bits(i) = true '
Proof step 15:
~1 + 1 = 0 ⊦ 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)))

Rule argument

seq: ⊦ i + 1 = 0 → int2bits(i) = true ' subst: [i] → [~1] rotate: F spec: int2bits inst: name: int2bits-mone

Additional information

Used terms: ~1