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Proof step 1 from proof primes-rec (conclusion)

⊦ primes(i ' + ints) ↔ prime(i) ∧ primes(ints)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ primes(ints) ↔ (∀ i. i ∈ ints → prime(i))
Proof step 3:
⊦ (∀ i0. i0 ∈ i ' + ints → prime(i0)) ↔ prime(i) ∧ primes(ints)

Rule argument

spec: inst: name: primes-def seq: ⊦ primes(ints) ↔ (∀ i. i ∈ ints → prime(i)) subst: [ints] → [i ' + ints] flags: rewrite, current

Additional information

Used terms: i ' + ints