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Proof step 9 from proof union-newref-02 (conclusion)

⊦ newref(r, st ∪ st0) ↔ newref(r, st) ∧ newref(r, st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ newref(r, st) ↔ r ≠ jvmref ∧ ¬ r ∈ st
Proof step 8:
⊦ r ≠ jvmref ∧ ¬ r ∈ st ∪ st0 ↔ newref(r, st) ∧ newref(r, st0)

Rule argument

[speclemmaarg: ,newref(r, st) ↔ r ≠ jvmref ∧ ¬ r ∈ st ,[st, r] → [st ∪ st0, r] ,F ,storefuns , ,newref-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st ∪ st0, r)]]