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Proof step 7 from proof cast-law-absorption (previous step)

i ≤ i0, 0 < i, 0 < i0 ⊦ bits2int(lastn(i→n(i), fillsgn(i→n(i), sgn(lastn(i→n(i0), fillsgn(i→n(i0), int2bits(j))))))) = cast(i, j)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ bits ≠ [] → lastn(n, fillsgn(n, sgn(bits))) = lastn(n, fillsgn(n, bits)) subst: [bits, n] → [lastn(i→n(i0), fillsgn(i→n(i0), int2bits(j))), i→n(i)] rotate: F spec: bitopsaux inst: name: lastn-fill-sgn

Additional information

Used simplifier rules: ⊦ lastn(n, bits) = [] ↔ n = 0;% ⊦ i→n(i) = 0 ↔ i = 0;% ⊦ fillsgn(0, bits) = bits;% ⊦ lastn(0, bits) = [];% ⊦ sgn([]) = [];% ⊦ fillsgn(n, []) = mklist(false, n);% ⊦ lastn(n, mklist(boolvar, n)) = mklist(boolvar, n); Used terms: lastn(i→n(i0), fillsgn(i→n(i0), int2bits(j))), i→n(i)