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Proof step 10 from proof subset-emp (previous step)

∀ a. count(a, bag) ≤ count(a, ∅) ⊦ count(a, bag) = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
∀ a0. count(a0, bag) = 0 ⊦ count(a, bag) = 0

Rule argument

Additional information

Used simplifier rules: ⊦ m ≤ 0 ↔ m = 0; (s)% ⊦ count(a, ∅) = 0; (s)