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Proof step 16 from proof is_valid_ref-put-equiv (conclusion)

⊦ okval(st[r1 -- sk], sk .fs .type) ∧ r1 -- sk ∈ st ∧ is_fskey(sk) ∧ okval(val, sk .fs .type) ∧ sk .fs .type ≠ void_type ∧ sk ≠ _length → (is_valid_ref(str, r, st[r1 -- sk, val]) ↔ is_valid_ref(str, r, st))

User applied rule insert rewrite lemma

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 15:
⊦ okval(st[r1 -- sk], sk .fs .type) ∧ r1 -- sk ∈ st ∧ is_fskey(sk) ∧ okval(val, sk .fs .type) ∧ sk .fs .type ≠ void_type ∧ sk ≠ _length → (is_obj(str, r, st[r1 -- sk, val]) ∨ is_array(str, r, st[r1 -- sk, val]) ↔ is_valid_ref(str, r, st))

Rule argument

[crewrite-arg: is-valid-ref-stronger-def , F , [st, r, str] → [st[r1 -- sk, val], r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r1 -- sk, val], r, str)]]