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Proof step 2 from proof and-rec-01 (previous step)

⊦ bitsand(bits, true ') = bits, 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-oner: ⊦ bitsand(bits + boolvar ', true ') = bits + boolvar;% ⊦ bits + boolvar = bits + boolvar ';% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ bits + bits0 = bits + bits1 ↔ bits0 = bits1; Used terms: bits