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Proof step 45 from proof cyclic-def-simple (previous step)

validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ r = jvmref, is_obj(str, r, st), ¬ r ∈ refs1 ∧ ¬ dups(refs1), ∃ refs0. dups(refs0) ∧ refs0 .first = r ∧ validrefs(str, refs0, mkclasstype(`java.lang.Object' .class), st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 28:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → ¬ validrefs(str, r ' + refs, ty, st)
Proof step 44:
¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ st[r -- _type] .type)), validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ r = jvmref, is_obj(str, r, st), ¬ r ∈ refs1 ∧ ¬ dups(refs1), ∃ refs0. dups(refs0) ∧ refs0 .first = r ∧ validrefs(str, refs0, mkclasstype(`java.lang.Object' .class), st)

Rule argument

[crewrite-arg: validrefs-is-junk , F , [st, ty, refs, r, str] → [st, st[r -- _type] .type, refs1, r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, st[r -- _type] .type, refs1, r, str)]]