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Proof step 3 from proof is_valid_ref-obj (conclusion)

⊦ st[r -- _type] .type ≤ mkclasstype(class) ∧ class ≠ `java.lang.Object' .class ∧ r ≠ jvmref → (is_valid_ref(str, r, st) ↔ is_obj(str, r, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1:
⊦ is_valid_ref(str, r, st) ↔ is_obj(str, r, st) ∨ is_array(str, r, st)
Proof step 2:
⊦ is_obj(str, r, st) ↔ class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st)

Rule argument

[emptyarg]

Additional information

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