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Proof step 4 from proof subset-trans (previous step)

count(a, bag2) < count(a, bag0), count(a, bag1) ≤ count(a, bag2), ∀ a. count(a, bag1) ≤ count(a, bag2), ∀ a. count(a, bag0) ≤ count(a, bag1) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
count(a, bag2) < count(a, bag0), count(a, bag1) < count(a, bag0), count(a, bag1) ≤ count(a, bag2), ∀ a. count(a, bag0) ≤ count(a, bag1), ∀ a. count(a, bag1) ≤ count(a, bag2) ⊦

Rule argument

Additional information

Used simplifier rules: fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat