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Proof step 63 from proof validrefs-addobj-01 (previous step)

fis .keys = instfields(class), class+∃(str, class), validFields(r, fis, addobj(r, class, fis, st)), newref(r, st), validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), mkfs(class0, ty0, fieldvar) ' × refval(r0) ∈ fis, mkfs(class0, ty0, fieldvar) ' ∈ instfields(class), validrefs(str, r0 ' + refs0, ty, st), unique_al(fis), okval(fis[mkfs(class0, ty0, fieldvar) '], ty0), ∀ sk. sk ∈ instfields(class) → goodfieldandtype(r, sk, addobj(r, class, fis, st)) ⊦ r = jvmref, r0 ' + refs0 = jvmref ', is_predefined_class(class), is_abstract(class), is_reftype(ty0)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,sk × val ∈ fis ∧ unique_al(fis) → fis[sk] = val ,[sk, val, fis] → [mkfs(class0, ty0, fieldvar) ', refval(r0), fis] ,F ,assoclist ,fieldinit ,lookup-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ okval(refval(r), ty) ↔ ty = void_type ∨ is_reftype(ty)], [CSIMPSEQ : ⊦ ¬ mkfs (class0, void_type, fieldvar) ' ∈ instfields(class)])], [EXTRATERMS : (mkfs(class0, ty0, fieldvar) ', refval(r0), fis)]]