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Proof step 4 from proof bits2int-sgn (previous step)

bits = mklist(bits.first, n) + sgn(bits) ⊦ bits2int(sgn(bits)) = bits2int(bits), bits = []

Heuristic var elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 5:
bits = boolvar + bits0, bits = mklist(boolvar, n) + sgn(bits) ⊦ bits2int(sgn(bits)) = bits2int(bits), bits = []

Rule argument

seq: bits ≠ [] ⊦ (boolvar ↔ bits.first) ∧ bits0 = bits.rest ↔ bits = boolvar + bits0 subst: [bits, boolvar, bits0] → [bits, boolvar, bits0] rotate: T spec: list-data inst: bitlista name: elim-list-c

Additional information

Used simplifier rules: bits ≠ [] ⊦ (boolvar ↔ bits.first) ∧ bits0 = bits.rest ↔ bits = boolvar + bits0; (elim) Used terms: bits, boolvar, bits0