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Proof step 82 from proof validrefs-addobj-01 (previous step)

fis .keys = instfields(class), validrefs(str, r0 ' + refs0, ty, st), mkfs(class0, ty0, fieldvar) ' ∈ instfields(class), mkfs(class0, ty0, fieldvar) ' × refval(r0) ∈ fis, validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), class+∃(str, class), newref(r, st), validFields(r, fis, addobj(r, class, fis, st)), is_obj(str, r, addobj(r, class, fis, st)), unique_al(fis) ⊦ r = jvmref, validrefs(str, r0 ' + refs0, ty0, addobj(r, class, fis, st)), is_abstract(class), validrefs(str, r0 ' + refs0, ty0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ r ≠ jvmref ∧ ¬ validref(str, st0[r -- fs '] .refval, fs .type, st0) ∧ fs ' ∈ instfields(class) ∧ is_reftype(fs .type) → ¬ validref(str, r, mkclasstype(class), st0)
Proof step 81:
¬ ( r ≠ jvmref ∧ ¬ validref (str, (addobj(r, class, fis, st)[r -- mkfs(class0, ty0, fieldvar) ']) .refval, mkfs(class0, ty0, fieldvar) .type, addobj(r, class, fis, st)) ∧ mkfs(class0, ty0, fieldvar) ' ∈ instfields(class) ∧ is_reftype(mkfs(class0, ty0, fieldvar) .type)), fis .keys = instfields(class), validrefs(str, r0 ' + refs0, ty, st), mkfs(class0, ty0, fieldvar) ' ∈ instfields(class), mkfs(class0, ty0, fieldvar) ' × refval(r0) ∈ fis, validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), class+∃(str, class), newref(r, st), validFields(r, fis, addobj(r, class, fis, st)), is_obj(str, r, addobj(r, class, fis, st)), unique_al(fis) ⊦ r = jvmref, validrefs(str, r0 ' + refs0, ty0, addobj(r, class, fis, st)), is_abstract(class), validrefs(str, r0 ' + refs0, ty0, st)

Rule argument

[speclemmaarg: , r ≠ jvmref ∧ ¬ validref(str, st0[r -- fs '] .refval, fs .type, st0) ∧ fs ' ∈ instfields(class) ∧ is_reftype(fs .type) → ¬ validref(str, r, mkclasstype(class), st0) ,[r, str, st0, fs, class] → [r, str, addobj(r, class, fis, st), mkfs(class0, ty0, fieldvar), class] ,F ,junkrefs , ,validref-forward-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r, str, addobj(r, class, fis, st), mkfs(class0, ty0, fieldvar), class)]]