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Proof step 8 from proof validref-class (previous step)

st[r -- mkfs(class0, ty0, fieldvar) '] = refval(r0), st[r -- _type] .type = mkclasstype(class), is_obj(str, r, st), mkfs(class0, ty0, fieldvar) ' ∈ instfields(class), is_reftype(ty0), is_classtype(ty), class ≤ ty .class, st[r0 -- _type] .type ≤ ty0, ¬ validref(str, r0, ty0, st) ∨ ¬ st[r -- (mkfs(class0, ty0, fieldvar) ' ' + _type ')] .type ≤ ty0 ⊦ r = jvmref, r0 = jvmref, ty0 = abstract_type, junkref(str, r0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ st[r -- (sk ' + sk0 ')] = st[st[r -- sk] .refval -- sk0]
Proof step 7:
st[r -- mkfs(class0, ty0, fieldvar) '] = refval(r0), st[r -- _type] .type = mkclasstype(class), is_obj(str, r, st), mkfs(class0, ty0, fieldvar) ' ∈ instfields(class), is_reftype(ty0), is_classtype(ty), class ≤ ty .class, st[r0 -- _type] .type ≤ ty0, ¬ validref(str, r0, ty0, st) ∨ ¬ st[st[r -- mkfs(class0, ty0, fieldvar) '] .refval -- _type] .type ≤ ty0 ⊦ r = jvmref, r0 = jvmref, ty0 = abstract_type, junkref(str, r0, st)

Rule argument

[speclemmaarg: ,st[r -- (sk ' + sk0 ')] = st[st[r -- sk] .refval -- sk0] ,[sk0, sk, r, st] → [_type, mkfs(class0, ty0, fieldvar) ', r, st] ,F ,storefuns , ,lookup-two ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (_type, mkfs(class0, ty0, fieldvar) ', r, st)]]