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Proof step 31 from proof isobj-subset (previous step)

r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, st[r -- _type] .type .class, st), st ⊆ st1, r -- _type ∈ st1, r ∈ st, r ∈ st1 ⊦ r = jvmref, is_obj(r, st1[r -- _type] .type .class, st1) ∧ is_classtype(st1[r -- _type] .type) ∧ is_typevalue(st1[r -- _type])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 30:
st[r -- _type] .type = mkclasstype(class), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, class, st), st ⊆ st1, r -- _type ∈ st1, r ∈ st, r ∈ st1 ⊦ r = jvmref, is_obj(r, st1[r -- _type] .type .class, st1) ∧ is_classtype(st1[r -- _type] .type) ∧ is_typevalue(st1[r -- _type])

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)]]