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Proof step 2 from proof bits2int-rec-true (previous step)

⊦ bits2int(bits + true ') = bits2int(bits) * 2 + 1, bits = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ boolvar ∧ ¬ bits.first ∧ bits ≠ [] → bits2int(bits + boolvar ') = bits2int(bits) * 2 + 1
Proof step 4:
¬(true ∧ ¬ bits.first ∧ bits ≠ []) ⊦ bits2int(bits + true ') = bits2int(bits) * 2 + 1, bits = []

Rule argument

name: bits2int-rec rotate: F subst: [boolvar, bits] → [true, bits]

Additional information

Used simplifier rules: ⊦ i * j = j * i;% ⊦ i + j = j + i; Used terms: true, bits