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Proof step 1 from proof del-size (conclusion)

⊦ #(bag -- a) = # bag - (a ∈ bag ⊃ 1;0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

Used simplifier rules: in: ⊦ a ∈ bag ↔ count(a, bag) ≠ 0;