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Proof step 28 from proof cyclic-def-object (previous step)

is_obj(str, r, st), validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ ¬ r ∈ refs1 ∧ ¬ dups(refs1), (dups(refs1) ∨ r ∈ refs1) ∧ validrefs(str, r ' + refs1, mkclasstype(`java.lang.Object' .class), st)

User applied rule case distinction

And obtained the following new goals

Proof step 27:
is_obj(str, r, st), validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ validrefs(str, r ' + refs1, mkclasstype(`java.lang.Object' .class), st), ¬ r ∈ refs1 ∧ ¬ dups(refs1)

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]