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Proof step 85 from proof junkref-subspec-samesubclasses (previous step)

junkrefs(str, r ' + refs0, st[r -- _type] .type, st), same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0), ∀ str0, str, r, st, refs. # refs < # refs0 → ( same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0) ∧ junkrefs(str, r ' + refs, st[r -- _type] .type, st) → junkref(str0, r, st)) ⊦ junkref(str0, r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ r ≠ jvmref ∧ ¬ is_valid_ref(str, r, st) → junkref(str, r, st)
Proof step 84:
¬ (r ≠ jvmref ∧ ¬ is_valid_ref(str0, r, st)), junkrefs(str, r ' + refs0, st[r -- _type] .type, st), same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0), ∀ str0, str, r, st, refs. # refs < # refs0 → ( same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0) ∧ junkrefs(str, r ' + refs, st[r -- _type] .type, st) → junkref(str0, r, st)) ⊦ junkref(str0, r, st)

Rule argument

[speclemmaarg: ,r ≠ jvmref ∧ ¬ is_valid_ref(str, r, st) → junkref(str, r, st) ,[st, r, str] → [st, r, str0] ,F ,junkrefs , ,junkref-is-junk ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r, str0)]]