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Proof step 10 from proof product-divide (previous step)

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

User applied rule all left

And obtained the following new goals

Proof step 11:
i ∈ ints0, perm(ints2, (ints0 -1l i) + ints1), perm(ints2, (ints0 -1l i) + ints1) → Π ints2 = Π(ints0 -1l i) * Π ints1 ⊦ i * Π ints2 = Π ints0 * Π ints1

Rule argument

pos: left 3 terms: ints0 -1l i, ints1 abort: F discard: T computed: T

Additional information

Used terms: ints0 -1l i, ints1