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Proof step 1 from proof byte2bits-val (conclusion)

⊦ bits2uint(byte2bits(by)) = band(b2i(by), 255)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ ¬ bits.first ∧ bits ≠ [] → bits2int(bits) = bits2uint(bits)
Proof step 3:
¬(¬ byte2bits(by).first ∧ byte2bits(by) ≠ []) ⊦ bits2uint(byte2bits(by)) = band(b2i(by), 255)
Proof step 32:
¬ byte2bits(by).first ∧ byte2bits(by) ≠ [] ⊦ bits2int(byte2bits(by)) = band(b2i(by), 255)

Rule argument

seq: ⊦ ¬ bits.first ∧ bits ≠ [] → bits2int(bits) = bits2uint(bits) subst: [bits] → [byte2bits(by)] rotate: T spec: int2bits inst: name: bits2int-pos-02

Additional information

Used terms: byte2bits(by)