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Proof step 23 from proof newref-same (previous step)

r ∈ st, ∀ r. r ∈ st ↔ r ∈ st0 ⊦ next(maxref(st)) = next(maxref(st0))

User applied rule insert lemma

And obtained the following new goals

Proof step 4:
⊦ r ∈ st → maxref(st) ∈ st ∧ (∀ r. r ∈ st → ¬ maxref(st) < r)
Proof step 22:
r ∈ st → maxref(st) ∈ st ∧ (∀ r. r ∈ st → ¬ maxref(st) < r), r ∈ st, ∀ r. r ∈ st ↔ r ∈ st0 ⊦ next(maxref(st)) = next(maxref(st0))

Rule argument

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

Additional information

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