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Proof step 3 from proof product-perm-equal (previous step)

∀ ints0. perm(ints1, ints0) → Π ints1 = Π ints0, perm(i + ints1, ints0) ⊦ Π(i + ints1) = Π ints0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
perm(i ' + ints1, ints0), ∀ ints0. perm(ints1, ints0) → Π ints1 = Π ints0 ⊦ i * Π ints1 = Π ints0

Rule argument

Additional information

Used simplifier rules: product-app: ⊦ Π(ints + ints0) = Π ints * Π ints0;%product-one: ⊦ Π i ' = i;%a: ⊦ (ints + ints0) + ints1 = ints + ints0 + ints1; from specification list[intlista]%c: ⊦ i + ints = i ' + ints; from specification list[intlista]