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Proof step 7 from proof validrefnotnull-isvalidref (previous step)

str ≠ `java.lang.Object' ⊦ validrefnotnull(str0, r, mkclasstype(str .class), st) → (is_valid_ref(str0, r, st) ↔ is_obj(str0, r, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1:
⊦ validrefnotnull(str, r, ty, st) → r ≠ jvmref
Proof step 6:
validrefnotnull(str0, r, mkclasstype(str .class), st), is_array(str0, r, st) ⊦ str = `java.lang.Object', r = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_array(str, r, st) → ( is_valid_ref(str, r, st) ↔ is_obj(str, r, st))], [CSIMPSEQ : ⊦ is_array(str, r, st) → ¬ is_obj(str, r, st)], [CSIMPSEQ : ⊦ ¬ is_obj(str, r, st) → ( is_valid_ref(str, r, st) ↔ is_array(str, r, st))])]]