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Proof step 7 from proof diff-add-sw (previous step)

⊦ (count(a0, bag1) ≤ count(a0, bag0 ++ a) ⊃ count(a0, bag0 ++ a) - count(a0, bag1);0) = count(a0, (bag0 \ bag1) ++ a), count(a, bag1) ≠ 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information