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Proof step 14 from proof bytes2int-len-one-01 (previous step)

bits2int(bytes2bits(bytes0)) = 0, 0 ≤ band(b2i(by), 255), band(b2i(by), 255) < 128 ⊦ bytes0 = [], bytes0.first = i2b(0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ bits ≠ [] → (bits2int(bits) = 0 ↔ ¬ true ∈ bits)
Proof step 16:
bytes2bits(bytes0) ≠ [], ¬ true ∈ bytes2bits(bytes0), 0 ≤ band(b2i(by), 255), band(b2i(by), 255) < 128 ⊦ bytes0 = [], bytes0.first = i2b(0)

Rule argument

seq: ⊦ bits ≠ [] → (bits2int(bits) = 0 ↔ ¬ true ∈ bits) subst: [bits] → [bytes2bits(bytes0)] rotate: F spec: int2bits inst: name: bits2int-zero-02

Additional information

Used simplifier rules: bytes2bits-empty-01: ⊦ bytes2bits(bytes) = [] ↔ bytes = []; Used terms: bytes2bits(bytes0)