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Proof step 8 from proof unchanged-cyclic (previous step)

unchanged(str, r, st, st0), validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ junkref(str, r, st), ¬ r ∈ refs1 ∧ ¬ dups(refs1), (dups(refs1) ∨ r ∈ refs1) ∧ validrefs(str, r ' + refs1, st0[r -- _type] .type, st0)

User applied rule case distinction

And obtained the following new goals

Proof step 7:
unchanged(str, r, st, st0), validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ validrefs(str, r ' + refs1, st0[r -- _type] .type, st0), junkref(str, r, st), ¬ r ∈ refs1 ∧ ¬ dups(refs1)

Rule argument

[CASEDARG : pos: right 3, ()]

Additional information

[[CONCRETESIMPRULES : ()]]