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Proof step 12 from proof product-divide (previous step)

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

User applied rule insert equation

And closed the goal!

Rule argument

pos: left 1 flags: discard

Additional information

Used simplifier rules: product-del1-02: ⊦ i ∈ ints → i * Π(ints -1l i) = Π ints;%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult