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Proof step 7 from proof is_valid_ref-update (previous step)

⊦ r = r0, (is_obj(r, update(r0, fis, st)) ∨ is_array(r, update(r0, fis, st))) ∧ ( class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, update(r0, fis, st)) ∨ is_array(str, r, update(r0, fis, st))) ↔ is_obj(str, r, st) ∨ is_array(str, r, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ r ≠ r0 → (is_obj(r, update(r0, fis, st)) ↔ is_obj(r, st))
Proof step 6:
⊦ 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(r, st) → ¬ is_array(str, r, st)], [CSIMPSEQ : ⊦ r ≠ r0 → ( is_array (str, r, update(r0, fis, st)) ↔ is_array(str, r, st))], [CSIMPSEQ : ⊦ r ≠ r0 → ( is_array (r, update(r0, fis, st)) ↔ is_array(r, st))])]]