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Proof step 5 from proof cast-mod-ls-most (previous step)

0 < i ⊦ bits2int(lastn(i→n(i), fillsgn(i→n(i), true ' + mklist(false, i→n(i - 1))))) + 2 ^ (i - 1) = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ n ≤ # bits → fillsgn(n, bits) = bits
Proof step 7:
¬ i→n(i) ≤ #(true ' + mklist(false, i→n(i - 1))), 0 < i ⊦ bits2int(lastn(i→n(i), fillsgn(i→n(i), true ' + mklist(false, i→n(i - 1))))) + 2 ^ (i - 1) = 0
Proof step 10:
i→n(i) ≤ #(true ' + mklist(false, i→n(i - 1))), 0 < i ⊦ bits2int(lastn(i→n(i), true ' + mklist(false, i→n(i - 1)))) + 2 ^ (i - 1) = 0

Rule argument

seq: ⊦ n ≤ # bits → fillsgn(n, bits) = bits subst: [bits, n] → [true ' + mklist(false, i→n(i - 1)), i→n(i)] rotate: F spec: bitopsaux inst: name: fillsgn-longer

Additional information

Used terms: true ' + mklist(false, i→n(i - 1)), i→n(i)