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Proof step 11 from proof isobj-put-samefield (previous step)

r -- mkfs(class, ty, fieldvar) ' ∈ st, okval(st[r -- mkfs(class, ty, fieldvar) '], ty), okval(val, ty), r ∈ st, r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, st[r -- _type] .type .class, st[r -- mkfs(class, ty, fieldvar) ', val]) ⊦ mkfs(class, ty, fieldvar) ' = _type, r = jvmref, is_obj(r, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
st[r -- _type] .type = mkclasstype(class0), r -- mkfs(class, ty, fieldvar) ' ∈ st, okval(st[r -- mkfs(class, ty, fieldvar) '], ty), okval(val, ty), r ∈ st, r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, class0, st[r -- mkfs(class, ty, fieldvar) ', val]) ⊦ mkfs(class, ty, fieldvar) ' = _type, r = jvmref, is_obj(r, st)

Rule argument

[speclemmaarg: ,is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) ,[ty, class] → [st[r -- _type] .type, class0] ,T ,javatype , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (st[r -- _type] .type, class0)]]