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Proof step 9 from proof validref-put (previous step)

is_obj(r, st) ∨ is_array(r, st), oktype(val, ty, st) ⊦ ty = void_type, mkfs(class, ty, fieldvar) ' = _length, is_valid_ref(r, st[r1 -- mkfs(class, ty, fieldvar) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ is_valid_ref(r, st) ↔ is_obj(r, st) ∨ is_array(r, st)
Proof step 8:
is_obj(r, st) ∨ is_array(r, st), oktype(val, ty, st) ⊦ ty = void_type, mkfs(class, ty, fieldvar) ' = _length, is_obj(r, st[r1 -- mkfs(class, ty, fieldvar) ', val]) ∨ is_array(r, st[r1 -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[crewrite-arg: is-valid-ref , F , [st, r] → [st[r1 -- mkfs(class, ty, fieldvar) ', val], r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r1 -- mkfs(class, ty, fieldvar) ', val], r)]]