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Proof step 1 from proof bits2int-sgn (conclusion)

⊦ bits2int(sgn(bits)) = bits2int(bits)

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 2:
⊦ bits ≠ [] ↔ (∃ n. bits = mklist(bits.first, n) + sgn(bits) ∧ bits ≠ [])
Proof step 3:
bits ≠ [] ↔ (∃ n. bits = mklist(bits.first, n) + sgn(bits) ∧ bits ≠ []) ⊦ bits2int(sgn(bits)) = bits2int(bits)

Rule argument

seq: ⊦ bits ≠ [] ↔ (∃ n. bits = mklist(bits.first, n) + sgn(bits) ∧ bits ≠ []) subst: [bits] → [bits] rotate: F spec: bitopsaux inst: name: sgn-ex

Additional information

Used terms: bits