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Proof step 18 from proof product-all-elems-le (
previous step
)
i0 * i0 ^ n→i(# ints0) < i * Π ints0, i ≤ i0, 0 < i, 0 < i0, 0 ≤ i, 0 ≤ i0, i0 ^ n→i(# ints0) < Π ints0, 0 ≤ Π ints0, i1 ∈ ints0, ∀ i1. i1 ∈ ints0 → 0 < i1 ∧ i1 ≤ i0 ⊦ 0 < i1 ∧ i1 ≤ i0
User applied rule all left
And closed the goal!
Rule argument
pos: left 10 terms: i1 abort: F discard: T computed: T
Additional information
Used terms: i1