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Proof step 7 from proof bits2int-zero-02 (previous step)

bits2uint(bits) = 2 ^ n→i(# bits), bits.first, true ∈ bits ⊦ bits = []

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 8:
bits = boolvar + bits0, bits2uint(bits) = 2 ^ n→i(# bits), boolvar, true ∈ 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