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Proof step 2 from proof insert-nonempty (previous step)

bag ++ a = ∅ ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ bag0 = bag1 ↔ (∀ a. count(a, bag0) = count(a, bag1))
Proof step 4:
∀ a0. count(a0, bag ++ a) = count(a0, ∅) ⊦

Rule argument

spec: inst: name: extension seq: ⊦ bag0 = bag1 ↔ (∀ a. count(a, bag0) = count(a, bag1)) subst: [bag1, bag0] → [∅, bag ++ a] flags: rewrite, current

Additional information

Used terms: ∅, bag ++ a