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Proof step 53 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) ⊦ ¬ validref(str, (addobj(r, class, fis, st)[r -- mkfs(class0, ty0, fieldvar) ']) .refval, ty0, addobj(r, class, fis, st)), r = jvmref, validrefs(str, r0 ' + refs0, ty0, addobj(r, class, fis, st)), is_abstract(class), validrefs(str, r0 ' + refs0, ty0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 52:
fis .keys = instfields(class), unique_al(fis), 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), validref(str, (addobj(r, class, fis, st)[r -- mkfs(class0, ty0, fieldvar) ']) .refval, ty0, addobj(r, class, fis, st)) ⊦ r = jvmref, validrefs(str, r0 ' + refs0, ty0, st), is_abstract(class), validrefs(str, r0 ' + refs0, ty0, addobj(r, class, fis, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]