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Proof step 9 from proof isobj-put-samefield (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 8:
st[r -- _type] = typeval(ty0), ty0 = mkclasstype(class0), is_obj(r, class0, st[r -- mkfs(class, ty, fieldvar) ', val]), is_typevalue(st[r -- _type]), r -- _type ∈ st, r ∈ st, okval(val, ty), okval(st[r -- mkfs(class, ty, fieldvar) '], ty), r -- mkfs(class, ty, fieldvar) ' ∈ st ⊦ r = jvmref, mkfs(class, ty, fieldvar) ' = _type, is_obj(r, st)

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r -- _type], ty0] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r -- _type], ty0)]]