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Proof step 9 from proof newref-exists (previous step)

r < jvmref, jvmref < r0, r < r0, ∀ r0. r0 ∈ st → r0 < r, ∀ r. ∃ r0. r < r0 ⊦ newref(r0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ newref(r, st) ↔ r ≠ jvmref ∧ (∀ rk. rk ∈ st → rk .ref ≠ r)
Proof step 8:
r < jvmref, jvmref < r0, r < r0, ∀ r0. r0 ∈ st → r0 < r, ∀ r. ∃ r0. r < r0 ⊦ r0 ≠ jvmref ∧ (∀ rk. rk ∈ st → rk .ref ≠ r0)

Rule argument

[crewrite-arg: newref, F, [st, r] → [st, r0]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r0)]]