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Proof step 13 from proof max-rem-notsame (previous step)

count(bag0.max, bag0) = 0 ⊦ bag0 = ∅

User applied rule structural induction

And obtained the following new goals

Proof step 14:
count((bag ++ m).max, bag ++ m) = 0, count(bag.max, bag) = 0 → bag = ∅ ⊦ bag ++ m = ∅

Rule argument

indvar: bag0

Additional information

Used simplifier rules: nat-bag generated by ∅, ++;;