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Proof step 1033 from proof bitsand-cast (previous step)

# bits0 < # bits1 ⊦ bits1 = [], bits0 = [], bits2 + bits1 = [], bits1 = mklist(mklist(false, # bits0).first, # bits1 - # bits0) + mklist(false, # bits0), true ∈ bits1, bits0.first

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1034:
⊦ m ≠ 0 → (mklist(boolvar, m).first ↔ boolvar)
Proof step 1035:
# bits0 ≠ 0, # bits0 < # bits1 ⊦ bits1 = [], bits0 = [], bits2 + bits1 = [], bits1 = mklist(false, # bits1 - # bits0) + mklist(false, # bits0), true ∈ bits1, bits0.first

Rule argument

seq: ⊦ m ≠ 0 → (mklist(boolvar, m).first ↔ boolvar) subst: [m, boolvar] → [# bits0, false] rotate: F spec: list-last inst: bitlista name: mk-first-01

Additional information

Used simplifier rules: ⊦ # bits = 0 ↔ bits = []; Used terms: # bits0, false