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Proof step 6 from proof isobj-update-01 (previous step)

st[r -- _type] = typeval(mkclasstype(class)), r ∈ st, r -- _type ∈ st, sk ∈ instfields(class), goodfieldandtype(r, sk, update(r0, fis, st)) ⊦ r = r0, r = jvmref, goodfieldandtype(r, sk, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , goodfieldandtype(r, sk, st) ↔ is_fskey(sk) ∧ r -- sk ∈ st ∧ okval(st[r -- sk], sk .fs .type) ,[st, sk, r] → [st, sk, r] ,F ,okfuns , ,good-field-def ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)], [CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ goodfieldandtype(r, sk, st)], [CSIMPSEQ : ⊦ ¬ is_indexkey(sk) ↔ is_fskey(sk)], [CSIMPSEQ : ⊦ is_fskey(sk) → ( goodfieldandtype(r, sk, st) ↔ r -- sk ∈ st ∧ okval (st[r -- sk], sk .fs .type))], [CSIMPSEQ : ⊦ r ≠ r0 → ( r -- sk ∈ update(r0, fis, st) ↔ r -- sk ∈ st)], [CSIMPSEQ : ⊦ r ≠ r0 → (update(r0, fis, st)[r -- sk]) = st[r -- sk]])], [EXTRATERMS : (st, sk, r)]]