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Proof step 2 from proof and-rec-02 (previous step)

⊦ bitsand(bits, false ') = false ', bits = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ bits ≠ [] ↔ (∃ bits0, boolvar. bits = bits0 + boolvar ')

Rule argument

seq: ⊦ bits ≠ [] ↔ (∃ bits0, boolvar. bits = bits0 + boolvar ') subst: [bits] → [bits] rotate: F spec: list inst: bitlista name: lastdiv-rew

Additional information

Used simplifier rules: bitsand-zeror: ⊦ bitsand(bits + boolvar ', false ') = false ';% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ boolvar ' = boolvar0 ' ↔ boolvar ↔ boolvar0; Used terms: bits