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Proof step 3 from proof subset-size (previous step)

bag ⊆ bag0, # bag0 < # bag, ∀ bag1. bag ⊆ bag1 → # bag ≤ # bag1 ⊦ # bag = 0

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: bag0

Additional information

Used simplifier rules: ls-le-simp: ⊦ m < n → (n ≤ m ↔ false); from specification nat Used terms: bag0