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Proof step 23 from proof fix-value (previous step)

0 ≤ bits2int(bytes2bits(bytes)) ⊦ n0 = 0, bytes = [], bits2uint(bytes2bits(bytes)) = bits2int(bytes2bits(bytes))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 24:
⊦ ¬ bits.first ∧ bits ≠ [] → bits2int(bits) = bits2uint(bits)

Rule argument

seq: ⊦ ¬ bits.first ∧ bits ≠ [] → bits2int(bits) = bits2uint(bits) subst: [bits] → [bytes2bits(bytes)] rotate: F spec: int2bits inst: name: bits2int-pos-02

Additional information

Used simplifier rules: bytes2bits-empty-01: ⊦ bytes2bits(bytes) = [] ↔ bytes = [];%bits ≠ [] ⊦ 0 ≤ bits2int(bits) → ¬ bits.first; Used terms: bytes2bits(bytes)