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Proof step 10 from proof validref-put-samefield (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ is_valid_ref(r, st) ↔ is_obj(r, st) ∨ is_array(r, st)
Proof step 9:
r -- mkfs(class, ty, fieldvar) ' ∈ st, oktype(st[r -- mkfs(class, ty, fieldvar) '], ty, st), oktype(val, ty, st), is_obj(r, st[r -- mkfs(class, ty, fieldvar) ', val]) ∨ is_array(r, st[r -- mkfs(class, ty, fieldvar) ', val]), r ∈ st ⊦ mkfs(class, ty, fieldvar) ' = _type, mkfs(class, ty, fieldvar) ' = _length, is_obj(r, st) ∨ is_array(r, st)

Rule argument

[crewrite-arg: is-valid-ref, F, [st, r] → [st, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r)]]