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Proof step 1 from proof succ-first-01 (conclusion)

⊦ true ∈ bits +1.rest ∧ bits ≠ [] → (bits +1.first ↔ bits.first)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ false ∈ bits.rest ∧ bits ≠ [] → (bits +1.first ↔ bits.first)
Proof step 3:
¬(false ∈ bits.rest ∧ bits ≠ []) ⊦ true ∈ bits +1.rest ∧ bits ≠ [] → (bits +1.first ↔ bits.first)

Rule argument

name: succ-first rotate: F subst: [bits] → [bits]

Additional information

Used terms: bits