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Proof step 2 from proof bits2int-sign (previous step)

⊦ bits = [], bits2int(bits0 + bits) = bits2int(bits), (¬ bits.first) ∈ bits0

Heuristic var elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 3:
bits = boolvar + bits1 ⊦ bits = [], bits2int(bits0 + bits) = bits2int(bits), (¬ boolvar) ∈ bits0

Rule argument

seq: bits ≠ [] ⊦ (boolvar ↔ bits.first) ∧ bits0 = bits.rest ↔ bits = boolvar + bits0 subst: [bits, boolvar, bits0] → [bits, boolvar, bits1] 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, bits1