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Proof step 11 from proof is_obj-notin-01 (previous step)

st[r -- _type] = typeval(mkclasstype(st[r -- _type] .type .class)), sk ∈ instfields(st[r -- _type] .type .class), class+∃(str, st[r -- _type] .type .class), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, st[r -- _type] .type .class, st), r ∈ st ⊦ r = jvmref, r -- sk ∈ st, is_abstract(st[r -- _type] .type .class)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
st[r -- _type] .type = mkclasstype(class), st[r -- _type] = typeval(mkclasstype(class)), sk ∈ instfields(class), class+∃(str, class), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, class, st), r ∈ st ⊦ r = jvmref, r -- sk ∈ st, is_abstract(class)

Rule argument

[speclemmaarg: ,is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) ,[ty, class] → [st[r -- _type] .type, class] ,T ,javatype , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (st[r -- _type] .type, class)]]