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Proof step 1 from proof count-del-same (conclusion)

⊦ count(a, bag -- a) = count(a, bag) - (count(a, bag) = 0 ⊃ 0;1)

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 2:
⊦ count(a, bag -- a) = count(a, bag) - (count(a, bag) = 0 ⊃ 0;1), count(a, bag) = 0

Rule argument

fma: count(a, bag) = 0

Additional information

Used simplifier rules: ⊦ count(a, bag) = 0 → bag -- a = bag; (s)% ⊦ m - 0 = m; (s) Used formulas: count(a, bag) = 0