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Proof step 5 from proof junkrefs-subclass (previous step)

is_obj(r, st) ⊦ r = jvmref, junkrefs(str, r ' + refs0, st[r -- _type] .type, st), st[r -- _type] .type ≤ mkclasstype(`java.lang.Object' .class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → junkrefs(str, r ' + refs, ty, st)
Proof step 4:
¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ st[r -- _type] .type)), is_obj(r, st) ⊦ r = jvmref, junkrefs(str, r ' + refs0, st[r -- _type] .type, st), st[r -- _type] .type ≤ mkclasstype(`java.lang.Object' .class)

Rule argument

[crewrite-arg: junkrefs-is-junk , F , [st, ty, refs, r, str] → [st, st[r -- _type] .type, refs0, r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, st[r -- _type] .type, refs0, r, str)]]