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Proof step 14 from proof unique-elems-rem-notin (previous step)

count(n, bag) = m + 1, unique-elems(bag) ⊦ m = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ unique-elems(bag) ↔ (∀ n. count(n, bag) ≤ 1)
Proof step 16:
count(n, bag) = m + 1, ∀ n. count(n, bag) ≤ 1 ⊦ m = 0

Rule argument

spec: <toplevel> name: unique-elems seq: ⊦ unique-elems(bag) ↔ (∀ n. count(n, bag) ≤ 1) subst: [bag] → [bag] flags: <all paths>

Additional information

Used terms: bag