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Proof step 9 from proof is_valid_ref-put-samefield-01 (previous step)

okval(val, ty), class+∃(str, st[r -- _type] .type .class), is_obj(r, st) ⊦ mkfs(class, ty, fieldvar) ' = _type, mkfs(class, ty, fieldvar) ' = _length, is_obj(str, r, st[r -- mkfs(class, ty, fieldvar) ', val]), is_array(str, r, st), is_abstract(st[r -- _type] .type .class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ 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 8:
okval(val, ty), class+∃(str, st[r -- _type] .type .class), is_obj(r, st) ⊦ mkfs(class, ty, fieldvar) ' = _type, mkfs(class, ty, fieldvar) ' = _length, class+∃(str, (st[r -- mkfs(class, ty, fieldvar) ', val][r -- _type]) .type .class) ∧ ¬ is_abstract((st[r -- mkfs(class, ty, fieldvar) ', val][r -- _type]) .type .class) ∧ is_obj(r, st[r -- mkfs(class, ty, fieldvar) ', val]), is_array(str, r, st), is_abstract(st[r -- _type] .type .class)

Rule argument

[crewrite-arg: is-real-object-def , F , [st, r, str] → [st[r -- mkfs(class, ty, fieldvar) ', val], r, str] ]

Additional information

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