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Proof step 3 from proof validref-no-obj (previous step)

validref(str, r, mkclasstype(str0 .class), st) ⊦ str0 = `java.lang.Object', r = jvmref, is_obj(str, 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) ∨ ¬ st[r -- _type] .type ≤ ty) → ¬ validref(str, r, ty, st)

Rule argument

[crewrite-arg: validref-is-junk , F , [st, ty, r, str] → [st, mkclasstype(str0 .class), r, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_obj(str, r, st) → ( is_valid_ref(str, r, st) ↔ is_array(str, r, st))], [CSIMPSEQ : ⊦ is_array(str, r, st) → ( st[r -- _type] .type ≤ mkclasstype(class) ↔ class = `java.lang.Object' .class)], [CSIMPSEQ : ⊦ stringvar .class = stringvar0 .class ↔ stringvar = stringvar0])], [EXTRATERMS : (st, mkclasstype(str0 .class), r, str)]]