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Proof step 22 from proof shiftzero-minus-one (previous step)

⊦ n = 0, j = 0, bits2int(firstn(n, mklist(false, i→n(j)) + mklist(true, n))) = bits2uint(firstn(n, mklist(false, i→n(j)) + mklist(true, n)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 23:
⊦ ¬ bits.first ∧ bits ≠ [] → bits2int(bits) = bits2uint(bits)
Proof step 24:
¬(¬ firstn(n, mklist(false, i→n(j)) + mklist(true, n)).first ∧ firstn(n, mklist(false, i→n(j)) + mklist(true, n)) ≠ []) ⊦ n = 0, j = 0, bits2int(firstn(n, mklist(false, i→n(j)) + mklist(true, n))) = bits2uint(firstn(n, mklist(false, i→n(j)) + mklist(true, n)))

Rule argument

seq: ⊦ ¬ bits.first ∧ bits ≠ [] → bits2int(bits) = bits2uint(bits) subst: [bits] → [firstn(n, mklist(false, i→n(j)) + mklist(true, n))] rotate: F spec: int2bits inst: name: bits2int-pos-02

Additional information

Used terms: firstn(n, mklist(false, i→n(j)) + mklist(true, n))