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Proof step 4 from proof primes-rec (previous step)

∀ i0. i0 = i ∨ i0 ∈ ints → prime(i0) ⊦ prime(i) ∧ primes(ints)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ primes(ints) ↔ (∀ i. i ∈ ints → prime(i))
Proof step 6:
∀ i0. i0 = i ∨ i0 ∈ ints → prime(i0) ⊦ prime(i) ∧ (∀ i. i ∈ ints → prime(i))

Rule argument

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

Additional information

Used terms: ints