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Proof step 5 from proof primes-perm-01 (previous step)

perm(ints, ints1 + ints0), primes(ints), i ∈ ints1 ⊦ prime(i)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ primes(ints) ↔ (∀ i. i ∈ ints → prime(i))
Proof step 7:
perm(ints, ints1 + ints0), ∀ i. i ∈ ints → prime(i), i ∈ ints1 ⊦ 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