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Proof step 8 from proof junkref-class-02 (previous step)

st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), st[r -- _type] .type = mkclasstype(class0), r ∈ st, mkfs(class, ty, fieldvar) ' ∈ instfields(class0), goodfieldsandtypes(r, instfields(class0), st), is_typevalue(st[r -- _type]), r -- _type ∈ st, class+∃(str, class0) ⊦ r = jvmref, r0 = jvmref, is_abstract(class0), is_reftype(ty)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 7:
st[r -- _type] = typeval(ty0), st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), ty0 = mkclasstype(class0), r ∈ st, mkfs(class, ty, fieldvar) ' ∈ instfields(class0), goodfieldsandtypes(r, instfields(class0), st), is_typevalue(st[r -- _type]), r -- _type ∈ st, class+∃(str, class0) ⊦ r = jvmref, r0 = jvmref, is_abstract(class0), is_reftype(ty)

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)]]