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Proof step 13 from proof product-divide (previous step)

¬ i ∈ ints0, perm(ints2, ints0 + (ints1 -1l i)), ∀ ints0, ints1. perm(ints2, ints0 + ints1) → Π ints2 = Π ints0 * Π ints1 ⊦ i * Π ints2 = Π ints0 * Π ints1, ¬ i ∈ ints0 ∧ ¬ i ∈ ints1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
perm(ints2, ints0 + (ints1 -1l i)), i ∈ ints1, ∀ ints0, ints1. perm(ints2, ints0 + ints1) → Π ints2 = Π ints0 * Π ints1 ⊦ i * Π ints2 = Π ints0 * Π ints1, i ∈ ints0

Proof step 13 from proof product-divide (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information