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Proof step 870 from proof bitsand-cast (previous step)

mklist(true, # bits1) = bits1, true ∈ mklist(true, # bits1) ⊦ bits2 + mklist(true, # bits1) = [], bits0 = [], lastn(# mklist(true, # bits1), fillsgn(# mklist(true, # bits1), bitsand(sgn(mklist(true, # bits1)), bits0))) = lastn(# mklist(true, # bits1), fillsgn(# mklist(true, # bits1), bitsand(bits2 + mklist(true, # bits1), bits0)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 871:
⊦ n ≠ 0 → sgn(mklist(boolvar, n)) = boolvar '
Proof step 872:
# bits1 ≠ 0, mklist(true, # bits1) = bits1, true ∈ mklist(true, # bits1) ⊦ bits2 + mklist(true, # bits1) = [], bits0 = [], lastn(# mklist(true, # bits1), fillsgn(# mklist(true, # bits1), bitsand(true ', bits0))) = lastn(# mklist(true, # bits1), fillsgn(# mklist(true, # bits1), bitsand(bits2 + mklist(true, # bits1), bits0)))

Rule argument

seq: ⊦ n ≠ 0 → sgn(mklist(boolvar, n)) = boolvar ' subst: [n, boolvar] → [# bits1, true] rotate: F spec: bitopsaux inst: name: sgn-mklist-03

Additional information

Used simplifier rules: ⊦ # bits = 0 ↔ bits = [];% ⊦ # mklist(boolvar, n) = n;% ⊦ boolvar ∈ mklist(boolvar, m) ↔ m ≠ 0; Used terms: # bits1, true