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Proof step 10 from proof cyclic-addobj-other-01 (previous step)

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

User applied rule case distinction

And obtained the following new goals

Proof step 9:
newref(r0, st), validrefs(str, r ' + refs0, st[r -- _type] .type, st) ⊦ validrefs(str, r ' + refs0, st[r -- _type] .type, addobj(r0, class, fis, st)), r = r0, r0 = jvmref, junkref(str, r, st), ¬ r ∈ refs0 ∧ ¬ dups(refs0)

Rule argument

[CASEDARG : pos: right 5, ()]

Additional information

[[CONCRETESIMPRULES : ()]]