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Proof step 18 from proof is_valid_ref-def (conclusion)

⊦ is_valid_ref(str, r, st) ↔ ¬ ¬ (is_valid_ref(r, st) ∧ (is_obj(str, r, st) ∨ is_array(str, r, st)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1:
⊦ is_obj(str, r, st) ↔ class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st)
Proof step 2:
⊦ is_valid_ref(str, r, st) ↔ is_obj(str, r, st) ∨ is_array(str, r, st)
Proof step 3:
⊦ is_obj(r, st) → is_valid_ref(r, st)
Proof step 17:
is_valid_ref(str, r, st), ¬ is_valid_ref(r, st) ∨ ¬ is_obj(str, r, st) ∧ ¬ is_array(str, r, st) ⊦

Rule argument

[emptyarg]

Additional information

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