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Proof step 66 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), mkfs(class0, ty0, fieldvar) ' ∈ instfields(class) → goodfieldandtype(r, mkfs(class0, ty0, fieldvar) ', addobj(r, class, fis, st)), ∀ 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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 65:
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(addobj(r, class, fis, st)[r -- 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)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : sk ∈ fis ⊦ r -- sk ∈ addobj(r, class1, fis, st)], [CSIMPSEQ : ⊦ sk × val ∈ fis → sk ∈ fis], [CSIMPSEQ : ⊦ goodfieldandtype (r, mkfs(class1, ty, fieldvar) ', st) ↔ r -- mkfs(class1, ty, fieldvar) ' ∈ st ∧ okval (st[ r -- mkfs (class1, ty, fieldvar) '], ty)])]]