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Proof step 37 from proof cast-help-comm (previous step)

# int2bits(j) < i→n(i), 1 < i0, 0 < i0, 0 < i, i < i0, i ≤ i0 ⊦ mklist(¬ 0 ≤ j, i→n(i) - # int2bits(j)) + int2bits(j) = [], i = 0, i0 = 0, bits2int(lastn(i→n(i), fillsgn(i→n(i0), int2bits(j)))) = bits2int(lastn(i→n(i0), mklist(¬ 0 ≤ j, i→n(i0) - i→n(i)) + mklist(¬ 0 ≤ j, i→n(i) - # int2bits(j)) + int2bits(j)))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1 subst: [bits1, bits0, bits] → [int2bits(j), mklist(¬ 0 ≤ j, i→n(i) - # int2bits(j)), mklist(¬ 0 ≤ j, i→n(i0) - i→n(i))] rotate: T spec: list inst: bitlista name: a

Additional information

Used terms: int2bits(j), mklist(¬ 0 ≤ j, i→n(i) - # int2bits(j)), mklist(¬ 0 ≤ j, i→n(i0) - i→n(i))