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Proof step 11 from proof is_valid_ref-del-01 (previous step)

class+∃(str, st[r -- _type] .type .class), is_obj(r, st) ⊦ r = r0, is_obj(str, r, st -- r0), is_abstract(st[r -- _type] .type .class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ 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 10:
⊦ r ≠ r0 → (is_obj(r0, st -- r) ↔ is_obj(r0, st))

Rule argument

[crewrite-arg: is-real-object-def , F , [st, r, str] → [st -- r0, r, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → (st -- r)[r0 -- sk0] = st[r0 -- sk0]])], [EXTRATERMS : (st -- r0, r, str)]]