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Proof step 29 from proof add-gft (previous step)

⊦ r = r0, r0 -- mkfs(class, ty0, fieldvar) ' ∈ st ∧ oktype(st[r0 -- mkfs(class, ty0, fieldvar) '], ty0, addarray(r, ty, vals, st)) ↔ goodfieldandtype(r0, mkfs(class, ty0, fieldvar) ', st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ is_fskey(sk) → (goodfieldandtype(r, sk, st) ↔ r -- sk ∈ st ∧ oktype(st[r -- sk], sk .fs .type, st))
Proof step 28:
is_fskey(mkfs(class, ty0, fieldvar) ') ⊦ r = r0, r0 -- mkfs(class, ty0, fieldvar) ' ∈ st ∧ oktype(st[r0 -- mkfs(class, ty0, fieldvar) '], ty0, addarray(r, ty, vals, st)) ↔ r0 -- mkfs(class, ty0, fieldvar) ' ∈ st ∧ oktype(st[r0 -- mkfs(class, ty0, fieldvar) '], mkfs(class, ty0, fieldvar) ' .fs .type, st)

Rule argument

[speclemmaarg: , is_fskey(sk) → ( goodfieldandtype(r, sk, st) ↔ r -- sk ∈ st ∧ oktype(st[r -- sk], sk .fs .type, st)) ,[st, sk, r] → [st, mkfs(class, ty0, fieldvar) ', r0] ,F ,okfuns , ,good-field-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(fs ')])], [EXTRATERMS : (st, mkfs(class, ty0, fieldvar) ', r0)]]