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Proof step 8 from proof cyclic-addobj-other (previous step)

newref(r0, st), validrefs(str, r ' + refs0, st[r -- _type] .type, addobj(r0, class, fis, st)), validrefs(str, r ' + refs0, st[r -- _type] .type, st) ⊦ r = r0, r0 = jvmref, r0 ∈ refs0, junkref(str, r, st), ∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, st[r -- _type] .type, st), ¬ r ∈ refs0 ∧ ¬ dups(refs0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
newref(r0, st), validrefs(str, r ' + refs0, st[r -- _type] .type, addobj(r0, class, fis, st)), validrefs(str, r ' + refs0, st[r -- _type] .type, st) ⊦ r = r0, r0 = jvmref, r0 ∈ refs0, junkref(str, r, st), ¬ r ∈ refs0 ∧ ¬ dups(refs0), ∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, st[refs .first -- _type] .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]