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Proof step 6 from proof newref-in (previous step)

next(maxref(st)) ∈ st, r ∈ st ⊦

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ r ∈ st → maxref(st) ∈ st ∧ (∀ r. r ∈ st → ¬ maxref(st) < r)
Proof step 5:
r ∈ st → maxref(st) ∈ st ∧ (∀ r. r ∈ st → ¬ maxref(st) < r), next(maxref(st)) ∈ st, r ∈ st ⊦

Rule argument

[LEMMAARG : maxref-ok, [r, st] → [r, st]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r, st)]]