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Proof step 18 from proof newref-1dim (previous step)

⊦ r0 ≠ jvmref ∧ (∀ rk. rk ∈ addarray(r, ty, i, st) → rk .ref ≠ r0) ↔ r ≠ r0 ∧ newref(r0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ newref(r, st) ↔ r ≠ jvmref ∧ (∀ rk. rk ∈ st → rk .ref ≠ r)
Proof step 17:
⊦ r0 ≠ jvmref ∧ (∀ rk. rk ∈ addarray(r, ty, i, st) → rk .ref ≠ r0) ↔ r ≠ r0 ∧ r0 ≠ jvmref ∧ (∀ rk. rk ∈ st → rk .ref ≠ r0)

Rule argument

[speclemmaarg: ,newref(r, st) ↔ r ≠ jvmref ∧ (∀ rk. rk ∈ st → rk .ref ≠ r) ,[st, r] → [st, r0] ,F ,storefuns , ,newref ]

Additional information

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