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Proof step 7 from proof addobj-in-02 (previous step)

sk0 .fs = mkfs(class0, ty, fieldvar), ∀ r, r0, sk, class, st. r ≠ r0 ∨ ¬ sk ∈ sks0 ∧ sk ≠ _type → (r -- sk ∈ addobj(r0, class, sks0, st) ↔ r -- sk ∈ st), r ≠ r0 ∨ sk ≠ sk0 ∧ ¬ sk ∈ sks0 ∧ sk ≠ _type ⊦ r -- sk ∈ (addobj(r0, class, sks0, st)[r0 -- sk0, initial_value(ty)]) ↔ r -- sk ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st
Proof step 6:
sk0 .fs = mkfs(class0, ty, fieldvar), ∀ r, r0, sk, class, st. r ≠ r0 ∨ ¬ sk ∈ sks0 ∧ sk ≠ _type → (r -- sk ∈ addobj(r0, class, sks0, st) ↔ r -- sk ∈ st), r ≠ r0 ∨ sk ≠ sk0 ∧ ¬ sk ∈ sks0 ∧ sk ≠ _type ⊦ r -- sk = r0 -- sk0 ∨ r -- sk ∈ addobj(r0, class, sks0, st) ↔ r -- sk ∈ st

Rule argument

[speclemmaarg: ,rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st ,[val, rk0, st, rk] → [initial_value(ty), r0 -- sk0, addobj(r0, class, sks0, st), r -- sk] ,F ,store ,javastore ,In-insert ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (initial_value(ty), r0 -- sk0, addobj(r0, class, sks0, st), r -- sk)]]