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Proof step 4 from proof succ-first-01 (previous step)

true ∈ bits +1.rest ⊦ bits +1.first ↔ bits.first, bits = [], false ∈ bits.rest

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 5:
bits = boolvar + bits0, true ∈ bits +1.rest ⊦ bits +1.first ↔ boolvar, bits = [], false ∈ bits0

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