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Proof step 2 from proof bits2bits-def (previous step)

⊦ bits = [], int2bits(bits2int(bits)) = sgn(bits)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ ¬ bits.first ∧ bits ≠ [] → bits2int(bits) = bits2uint(bits.rest)
Proof step 4:
¬(¬ bits.first ∧ bits ≠ []) ⊦ bits = [], int2bits(bits2int(bits)) = sgn(bits)
Proof step 30:
¬ bits.first ∧ bits ≠ [] ⊦ bits = [], int2bits(bits2uint(bits.rest)) = sgn(bits)

Rule argument

name: bits2int-pos-01 rotate: F subst: [bits] → [bits]

Additional information

Used terms: bits