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Proof step 15 from proof bag-rm-add-eq (previous step)

a0 = a, a ∈ bag ⊦ 1 + (count(a0, bag) - (a0 = a ∧ count(a, bag) ≠ 0 ⊃ 1;0)) = count(a0, bag)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information