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Proof step 82 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), is_obj(str0, r, st) ∨ is_array(str0, r, st), ∀ 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)) ⊦ r = jvmref, junkref(str0, r, st)

User applied rule case distinction

And obtained the following new goals

Proof step 40:
is_obj(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)) ⊦ r = jvmref, junkref(str0, r, st)
Proof step 81:
is_array(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)) ⊦ r = jvmref, junkref(str0, r, st)

Rule argument

[CASEDARG : pos: left 3, ()]

Additional information

[[CONCRETESIMPRULES : ()]]