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Proof step 16 from proof max_exp-fac-add (previous step)

prime(i), prime(i), j0 < i, 0 < j, 0 ≤ j0, 0 < i, 0 ≤ j, ∃ j1. j1 ∈ countFun(1, j0, λ j0. i * j + j0) ∧ i | j1, 0 < fac(i * j), 0 < Π countFun(1, j0, λ j0. i * j + j0) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
0 < Π countFun(1, j0, λ j0. i * j + j0), 0 < fac(i * j), i | j1, j1 ∈ countFun(1, j0, λ j0. i * j + j0), 0 ≤ j, 0 < i, 0 ≤ j0, 0 < j, j0 < i, prime(i) ⊦

Proof step 16 from proof max_exp-fac-add (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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