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Proof step 13 from proof maxpath-object (previous step)

st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), maxpath(str, r, st) = 1, st[r -- _type] = typeval(mkclasstype(st[r -- _type] .type .class)), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, st[r -- _type] .type .class, st), 1 ≤ maxpath(str, r0, st), validrefs(str, r ', st[r -- _type] .type, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), r ∈ st ⊦ validrefset(str, r, st) = ∅, # validrefset(str, r, st) = 0, maxpath(str, r0, st) = 0, r = jvmref, junkref(str, r, st), cyclic(str, r, st), is_reftype(ty)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
st[r -- _type] .type = mkclasstype(class0), st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), maxpath(str, r, st) = 1, st[r -- _type] = typeval(mkclasstype(class0)), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, class0, st), 1 ≤ maxpath(str, r0, st), validrefs(str, r ', st[r -- _type] .type, st), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), is_obj(str, r, st), r ∈ st ⊦ validrefset(str, r, st) = ∅, # validrefset(str, r, st) = 0, maxpath(str, r0, st) = 0, r = jvmref, junkref(str, r, st), cyclic(str, r, st), is_reftype(ty)

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)]]