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Proof step 5 from proof ac-class (previous step)

⊦ r0 ≠ jvmref ∧ r0 -- _type ∈ addclass(class1, fis, st) ∧ (addclass(class1, fis, st)[r0 -- _type]) = typeval(mkclasstype(class0)) ↔ classof(r0, class0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ classof(r, class1, st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ st[r -- _type] = typeval(mkclasstype(class1))
Proof step 3:
r ≠ jvmref ⊦ (addclass(class1, fis, st)[r -- sk]) = st[r -- sk]
Proof step 4:
⊦ rk ∈ st → rk ∈ addclass(class, fis, st)

Rule argument

[speclemmaarg: , classof(r, class1, st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ st[r -- _type] = typeval(mkclasstype(class1)) ,[st, class1, r] → [st, class0, r0] ,F ,storefunsx , ,classOf ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ rk ∈ st → st[rk] = ∅[rk]], [CSIMPSEQ : ⊦ ∅[rk] = noval], [CSIMPSEQ : ⊦ noval ≠ typeval(ty)])], [EXTRATERMS : (st, class0, r0)]]