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Proof step 84 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)

User applied rule insert lemma

And obtained the following new goals

Proof step 16:
⊦ validrefs(str, refs, ty, st) ∧ newref(r, st) → validrefs(str, refs, ty, addobj(r, class, fis, st))
Proof step 83:
validrefs(str, r0 ' + refs0, ty0, st) ∧ newref(r, st) → validrefs(str, r0 ' + refs0, ty0, addobj(r, class, fis, st)), 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)

Rule argument

[LEMMAARG : validrefs-addobj-new, [str, refs, ty, st, r, class, fis] → [str, r0 ' + refs0, ty0, st, r, class, fis]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r0 ' + refs0, ty0, st, r, class, fis)]]