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Proof step 15 from proof junkrefs-levelsubset (previous step)

is_referencevalue(st[r -- mkfs(class, ty1, fieldvar) ']), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), is_obj(str0, r, st), st[r -- _type] .type ≤ ty, level⊆(str, str0), junkrefs(str0, st[r -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty1, st), ∀ str1, str2, ty0, st0. level⊆(str1, str2) ∧ junkrefs(str2, st[r -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty0, st0) → junkrefs(str1, st[r -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty0, st0) ⊦ r = jvmref, junkrefs(str, r ' + st[r -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 14:
st[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), is_referencevalue(st[r -- mkfs(class, ty1, fieldvar) ']), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), is_obj(str0, r, st), st[r -- _type] .type ≤ ty, level⊆(str, str0), junkrefs(str0, r0 ' + refs, ty1, st), ∀ str1, str2, ty0, st0. level⊆(str1, str2) ∧ junkrefs(str2, r0 ' + refs, ty0, st0) → junkrefs(str1, r0 ' + refs, ty0, st0) ⊦ r = jvmref, junkrefs(str, r ' + r0 ' + refs, ty, st)

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r -- mkfs(class, ty1, fieldvar) '], r0] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r -- mkfs(class, ty1, fieldvar) '], r0)]]