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Proof step 73 from proof validrefs-addobj-01 (previous step)

fis .keys = instfields(class), r ≠ jvmref ∧ r -- _type ∈ addobj(r, class, fis, st) ∧ is_typevalue(addobj(r, class, fis, st)[r -- _type]) ∧ is_classtype((addobj(r, class, fis, st)[r -- _type]) .type) ∧ is_obj(r, (addobj(r, class, fis, st)[r -- _type]) .type .class, addobj(r, class, fis, st)), unique_al(fis), 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)), newref(r, st), validFields(r, fis, addobj(r, class, fis, st)), class+∃(str, class) ⊦ r = jvmref, r0 ' + refs0 = jvmref ', is_reftype(ty0), is_abstract(class)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 72:
fis .keys = instfields(class), unique_al(fis), 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)), newref(r, st), validFields(r, fis, addobj(r, class, fis, st)), class+∃(str, class), is_obj(r, class, addobj(r, class, fis, st)) ⊦ r0 ' + refs0 = jvmref ', r = jvmref, is_reftype(ty0), is_abstract(class)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkclasstype(class) .class = class], [CSIMPSEQ : ⊦ is_classtype(mkclasstype(class))], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ is_typevalue(typeval(ty))], [CSIMPSEQ : ¬ _type ∈ fis ⊦ (addobj(r, class1, fis, st) [r -- _type ] ) = typeval(mkclasstype(class1))], [CSIMPSEQ : ⊦ fis .keys = instfields(class) → ¬ _type ∈ fis], [CSIMPSEQ : ⊦ r -- _type ∈ addobj(r, class1, fis, st)])]]