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Proof step 10 from proof isobj-addobj-01 (previous step)

st[r -- _type] = typeval(mkclasstype(class)), r ∈ st, r -- _type ∈ st, newref(r0, st), sk ∈ instfields(class), goodfieldandtype(r, sk, st) ⊦ r = jvmref, r0 = jvmref, goodfieldandtype(r, sk, addobj(r0, class0, fis, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ goodfieldandtype(r, sk, st) ↔ is_fskey(sk) ∧ r -- sk ∈ st ∧ okval(st[r -- sk], sk .fs .type)
Proof step 8:
⊦ r0 ∈ st ∧ newref(r, st) → (addobj(r, class1, fis, st)[r0 -- sk]) = st[r0 -- sk]
Proof step 9:
⊦ rk ∈ st → rk ∈ addobj(r, class1, fis, st)

Rule argument

[speclemmaarg: , goodfieldandtype(r, sk, st) ↔ is_fskey(sk) ∧ r -- sk ∈ st ∧ okval(st[r -- sk], sk .fs .type) ,[st, sk, r] → [addobj(r0, class0, fis, 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))])], [EXTRATERMS : (addobj(r0, class0, fis, st), sk, r)]]