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Proof step 86 from proof cast-help-comm (previous step)

i→n(i0) < # int2bits(j), i ≤ i0, 1 < i0, 0 < i0, 0 < i, i < i0, i→n(i) ≤ # int2bits(j) ⊦ bits2int(lastn(i→n(i), fillsgn(i→n(i0), int2bits(j)))) = bits2int(lastn(i→n(i), int2bits(j))), i = 0, i0 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 87:
⊦ n ≤ # bits → fillsgn(n, bits) = bits

Rule argument

seq: ⊦ n ≤ # bits → fillsgn(n, bits) = bits subst: [bits, n] → [int2bits(j), i→n(i0)] rotate: F spec: bitopsaux inst: name: fillsgn-longer

Additional information

Used simplifier rules: ⊦ ¬ m ≤ n ↔ n < m;% ⊦ m < n → ¬ n < m; Used terms: int2bits(j), i→n(i0)