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Proof step 86 from proof validrefs-addobj-01 (previous step)

fis .keys = instfields(class), is_obj(str, r, addobj(r, class, fis, st)), validFields(r, fis, addobj(r, class, fis, st)), newref(r, st), class+∃(str, class), 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) ⊦ r = jvmref, is_abstract(class), is_referencevalue(fis[mkfs(class0, ty0, fieldvar) ']) ∧ r0 = fis[mkfs(class0, ty0, fieldvar) '] .refval ∧ validrefs(str, fis[mkfs(class0, ty0, fieldvar) '] .refval ' + refs0, ty0, addobj(r, class, fis, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
⊦ sk × val ∈ fis ∧ unique_al(fis) → fis[sk] = val
Proof step 15:
¬ (mkfs(class0, ty0, fieldvar) ' × refval(r0) ∈ fis ∧ unique_al(fis)), fis .keys = instfields(class), is_obj(str, r, addobj(r, class, fis, st)), validFields(r, fis, addobj(r, class, fis, st)), newref(r, st), class+∃(str, class), 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) ⊦ r = jvmref, is_abstract(class), is_referencevalue(fis[mkfs(class0, ty0, fieldvar) ']) ∧ r0 = fis[mkfs(class0, ty0, fieldvar) '] .refval ∧ validrefs(str, fis[mkfs(class0, ty0, fieldvar) '] .refval ' + refs0, ty0, addobj(r, class, fis, st))
Proof step 85:
mkfs(class0, ty0, fieldvar) ' × refval(r0) ∈ fis ∧ unique_al(fis), fis .keys = instfields(class), is_obj(str, r, addobj(r, class, fis, st)), validFields(r, fis, addobj(r, class, fis, st)), newref(r, st), class+∃(str, class), 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) ⊦ r = jvmref, is_abstract(class), is_referencevalue(refval(r0)) ∧ r0 = refval(r0) .refval ∧ validrefs(str, refval(r0) .refval ' + refs0, ty0, addobj(r, class, fis, st))

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 : ()], [EXTRATERMS : (mkfs(class0, ty0, fieldvar) ', refval(r0), fis)]]