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Proof step 11 from proof unique-elems-add (previous step)

∀ n. count(n, bag ++ m) ≤ 1 ⊦ count(n, bag) ≤ 1 ∧ count(m, bag) = 0

User applied rule case distinction

And obtained the following new goals

Proof step 12:
∀ n. count(n, bag ++ m) ≤ 1 ⊦ count(n, bag) ≤ 1
Proof step 16:
∀ n. count(n, bag ++ m) ≤ 1 ⊦ count(m, bag) = 0

Rule argument

pos: right 1

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