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Proof step 14 from proof isobj-addobj (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ goodfieldandtype(r, sk, st) ↔ is_fskey(sk) ∧ r -- sk ∈ st ∧ okval(st[r -- sk], sk .fs .type)
Proof step 12:
⊦ r ≠ r0 → (r -- sk ∈ addobj(r0, class1, fis, st) ↔ r -- sk ∈ st)
Proof step 13:
⊦ r ≠ r0 → (addobj(r, class1, fis, st)[r0 -- sk]) = st[r0 -- sk]

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