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Proof step 49 from proof validref-subspec-samesubclasses (previous step)

st[r -- _type] = typeval(ty), same-subclasses-contains(`java.lang.Object' .class, str, str0), junkref(str, r, st), r -- _type ∈ st, ty ≤ mkclasstype(`java.lang.Object' .class), r ∈ st ⊦ r = jvmref, is_arraytype(ty), junkref(str0, r, st), same-subclasses-contains(ty .class, str, str0), ty .class ≤ `java.lang.Object' .class

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 46:
⊦ r ≠ jvmref ∧ ¬ is_valid_ref(str, r, st) → junkref(str, r, st)
Proof step 48:
¬ (r ≠ jvmref ∧ ¬ is_valid_ref(str0, r, st)), st[r -- _type] = typeval(ty), same-subclasses-contains(`java.lang.Object' .class, str, str0), junkref(str, r, st), r -- _type ∈ st, ty ≤ mkclasstype(`java.lang.Object' .class), r ∈ st ⊦ r = jvmref, is_arraytype(ty), junkref(str0, r, st), same-subclasses-contains(ty .class, str, str0), ty .class ≤ `java.lang.Object' .class

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)]]