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Proof step 23 from proof bag-rem-empty (previous step)

count(n1, bag) - (n1 = n ∧ count(n1, bag) ≠ 0 ⊃ 1;0) = 0, count(n, bag) = 1, ∀ n2. count(n2, bag -- n) = 0 ⊦ count(n1, bag) = count(n1, ∅ ++ n)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information