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Proof step 2 from proof bits2uint-inv-neg (previous step)

⊦ bits = [], 2 ^ n→i(# bits) = bits2uint(bitsinvert(bits)) + bits2int(bits) + 1, bits.first

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ ¬ bits.first ∧ bits ≠ [] → bits2int(bits) = bits2uint(bits)
Proof step 4:
¬ bits.first ∧ bits ≠ [] ⊦ bits = [], 2 ^ n→i(# bits) = bits2uint(bitsinvert(bits)) + bits2uint(bits) + 1, bits.first

Rule argument

name: bits2int-pos-02 rotate: F subst: [bits] → [bits]

Additional information

Used terms: bits