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Proof step 23 from proof junkrefs-union (previous step)

(st0 ∪ st)[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), st[r -- _type] = typeval(mkclasstype(st[r -- _type] .type .class)), junkrefs(str, r0 ' + refs, ty1, st0 ∪ st), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, st[r -- _type] .type .class, st), class+∃(str, st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), r ∈ st, ∀ str0, ty0, st1, st2. junkrefs(str0, r0 ' + refs, ty0, st1 ∪ st2) → junkrefs(str0, r0 ' + refs, ty0, st2) ⊦ r = jvmref, is_abstract(st[r -- _type] .type .class), is_referencevalue(st[r -- mkfs(class, ty1, fieldvar) ']) ∧ r0 = st[r -- mkfs(class, ty1, fieldvar) '] .refval ∧ junkrefs(str, st[r -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty1, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 22:
st[r -- _type] .type = mkclasstype(class0), (st0 ∪ st)[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), st[r -- _type] = typeval(mkclasstype(class0)), junkrefs(str, r0 ' + refs, ty1, st0 ∪ st), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, class0, st), class+∃(str, class0), st[r -- _type] .type ≤ ty, mkfs(class, ty1, fieldvar) ' ∈ instfields(class0), r ∈ st, ∀ str0, ty0, st1, st2. junkrefs(str0, r0 ' + refs, ty0, st1 ∪ st2) → junkrefs(str0, r0 ' + refs, ty0, st2) ⊦ r = jvmref, is_abstract(class0), is_referencevalue(st[r -- mkfs(class, ty1, fieldvar) ']) ∧ r0 = st[r -- mkfs(class, ty1, fieldvar) '] .refval ∧ junkrefs(str, st[r -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty1, 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)]]