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Proof step 12 from proof pathex-addobj (previous step)

fis .keys = instfields(class), validFields(r, fis, addobj(r, class, fis, st)), newref(r, st), validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), fs ' × refval(r0) ∈ fis, fs ' ∈ instfields(class), validrefs(str, r0 ' + refs0, mkclasstype(`java.lang.Object' .class), st), is_obj(str, r, addobj(r, class, fis, st)), class+∃(str, class) ∧ ¬ is_abstract(class) → validrefs(str, r ' + r0 ' + refs0, mkclasstype(class), addobj(r, class, fis, st)) ⊦ r = jvmref, class = `java.lang.Object' .class, validrefs(str, r ' + r0 ' + refs0, mkclasstype(`java.lang.Object' .class), addobj(r, class, fis, st)), validrefs(str, r ' + r0 ' + refs0, mkclasstype(class), addobj(r, class, fis, st)) ∧ class ≤ `java.lang.Object' .class

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ is_obj(str, r, st) ↔ class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st)
Proof step 11:
fis .keys = instfields(class), validFields(r, fis, addobj(r, class, fis, st)), newref(r, st), validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), fs ' × refval(r0) ∈ fis, fs ' ∈ instfields(class), validrefs(str, r0 ' + refs0, mkclasstype(`java.lang.Object' .class), st), class+∃(str, (addobj(r, class, fis, st)[r -- _type]) .type .class) ∧ ¬ is_abstract((addobj(r, class, fis, st)[r -- _type]) .type .class) ∧ is_obj(r, addobj(r, class, fis, st)), class+∃(str, class) ∧ ¬ is_abstract(class) → validrefs(str, r ' + r0 ' + refs0, mkclasstype(class), addobj(r, class, fis, st)) ⊦ r = jvmref, class = `java.lang.Object' .class, validrefs(str, r ' + r0 ' + refs0, mkclasstype(`java.lang.Object' .class), addobj(r, class, fis, st)), validrefs(str, r ' + r0 ' + refs0, mkclasstype(class), addobj(r, class, fis, st)) ∧ class ≤ `java.lang.Object' .class

Rule argument

[speclemmaarg: , is_obj(str, r, st) ↔ class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st) ,[st, r, str] → [addobj(r, class, fis, st), r, str] ,F ,addfuns , ,is-real-object-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addobj(r, class, fis, st), r, str)]]