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Proof step 33 from proof max-rem-notsame (previous step)

bag0.max < m ⊦ bag0 = ∅, count(m, bag0) = 0

User applied rule structural induction

And obtained the following new goals

Proof step 34:
(bag ++ m0).max < m, ∀ m. bag.max < m → bag = ∅ ∨ count(m, bag) = 0 ⊦ bag ++ m0 = ∅, count(m, bag ++ m0) = 0

Rule argument

indvar: bag0

Additional information

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