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Proof step 315 from proof bitsand-cast (previous step)

n = # fillsgn(n, bits), # bits < n ⊦ bits = [], bits0 = [], lastn(n, fillsgn(n, false ')) = lastn(n, fillsgn(n, bitsand(bits, bits0))), true ∈ bits

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 316:
⊦ 0 < n → fillsgn(n, boolvar ') = mklist(boolvar, n)
Proof step 317:
0 < n, n = # fillsgn(n, bits), # bits < n ⊦ bits = [], bits0 = [], lastn(n, mklist(false, n)) = lastn(n, fillsgn(n, bitsand(bits, bits0))), true ∈ bits

Rule argument

seq: ⊦ 0 < n → fillsgn(n, boolvar ') = mklist(boolvar, n) subst: [boolvar, n] → [false, n] rotate: F spec: bitopsaux inst: name: fill-rec-one

Additional information

Used simplifier rules: ⊦ 0 < n ↔ n ≠ 0;% ⊦ m < n → n ≠ 0; Used terms: false, n