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Proof step 17 from proof exists-twonew (previous step)

jvmref < r, r < r0, jvmref < r0, ∀ r. ∃ r0. r < r0, ∀ r0. r0 ∈ st → r0 < r ⊦ r = r0, r0 = jvmref, newref(r, st) ∧ (rk ∈ st → rk .ref ≠ r0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 16:
rk = r1 -- sk, jvmref < r, r < r0, jvmref < r0, ∀ r. ∃ r0. r < r0, ∀ r0. r0 ∈ st → r0 < r ⊦ r = r0, r0 = jvmref, newref(r, st) ∧ (rk ∈ st → r1 ≠ r0)

Rule argument

[speclemmaarg: ,r = rk .ref ∧ sk = rk .key ↔ rk = r -- sk ,[rk, r, sk] → [rk, r1, sk] ,T ,refkey , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ r = rk .ref ∧ sk = rk .key ↔ rk = r -- sk])], [EXTRATERMS : (rk, r1, sk)]]