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Proof step 2 from proof product-del1-01 (previous step)

i ∈ ints ⊦ i = 0, Π(ints -1l i) = Π ints / i

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ i ∈ ints ∧ i ≠ 0 → Π(ints -1l i) * i = Π ints
Proof step 4:
i ∈ ints ∧ i ≠ 0 → Π(ints -1l i) * i = Π ints, i ∈ ints ⊦ i = 0, Π(ints -1l i) = Π ints / i

Rule argument

spec: inst: name: product-del1 seq: ⊦ i ∈ ints ∧ i ≠ 0 → Π(ints -1l i) * i = Π ints subst: [i, ints] → [i, ints] flags: current, []

Additional information

Used terms: i, ints