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Proof step 4 from proof add-classof (previous step)

⊦ r = jvmref, _type ∈ fis, classof(r, class1, addobj(r, class1, fis, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ classof(r, class1, st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ st[r -- _type] = typeval(mkclasstype(class1))
Proof step 2:
⊦ r -- _type ∈ addobj(r, class1, fis, st)
Proof step 3:
¬ _type ∈ fis ⊦ (addobj(r, class1, fis, st)[r -- _type]) = typeval(mkclasstype(class1))

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ typeval(ty) = typeval(ty0) ↔ ty = ty0])], [EXTRATERMS : (addobj(r, class1, fis, st), class1, r)]]