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Proof step 15 from proof validref-forward (previous step)

st0[r -- _type] .type ≤ mkclasstype(class), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), is_reftype(ty) ⊦ st0[r -- mkfs(class0, ty, fieldvar) '] .refval = jvmref, r = jvmref, junkref(str, r, st0), st0[st0[r -- mkfs(class0, ty, fieldvar) '] .refval -- _type] .type ≤ ty ∧ ¬ junkref(str, st0[r -- mkfs(class0, ty, fieldvar) '] .refval, st0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 14:
st0[r -- mkfs(class0, ty, fieldvar) '] = refval(r0) ∧ is_referencevalue(st0[r -- mkfs(class0, ty, fieldvar) ']), st0[r -- _type] .type ≤ mkclasstype(class), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), is_reftype(ty) ⊦ r0 = jvmref, r = jvmref, junkref(str, r, st0), st0[r0 -- _type] .type ≤ ty ∧ ¬ junkref(str, r0, st0)

Rule argument

[speclemmaarg: is_referencevalue(val) ,r = val .refval ↔ val = refval(r) ,[val, r] → [st0[r -- mkfs(class0, ty, fieldvar) '], r0] ,T ,javavalue , ,elim-refval ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_referencevalue(val) → val .refval = jvmref], [CSIMPELIM : is_referencevalue(val) ⊦ r = val .refval ↔ val = refval(r)])], [EXTRATERMS : (st0[r -- mkfs(class0, ty, fieldvar) '], r0)]]