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Proof step 9 from proof primes-perm-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: list-perm inst: intlista name: in seq: ⊦ i ∈ ints ∧ ¬ i ∈ ints0 → ¬ perm(ints0, ints) subst: [i, ints, ints0] → [i, ints1 + ints0, ints] flags: rewrite

Additional information

Used simplifier rules: in-11: ⊦ i ∈ ints → i ∈ ints + ints0; from specification list[intlista]%a: ⊦ (ints + ints0) + ints1 = ints + ints0 + ints1; from specification list[intlista] Used terms: i, ints1 + ints0, ints