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Proof step 35 from proof add-gft (previous step)

⊦ r = r0, goodfieldandtype(r0, sk, addarray(r, ty, vals, st)) ↔ goodfieldandtype(r0, sk, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ is_fskey(sk) → (goodfieldandtype(r, sk, st) ↔ r -- sk ∈ st ∧ oktype(st[r -- sk], sk .fs .type, st))
Proof step 4:
¬ is_fskey(sk) ⊦ r = r0, goodfieldandtype(r0, sk, addarray(r, ty, vals, st)) ↔ goodfieldandtype(r0, sk, st)
Proof step 34:
is_fskey(sk) ⊦ r = r0, r0 -- sk ∈ addarray(r, ty, vals, st) ∧ oktype(addarray(r, ty, vals, st)[r0 -- sk], sk .fs .type, addarray(r, ty, vals, st)) ↔ goodfieldandtype(r0, sk, 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] → [addarray(r, ty, vals, st), sk, r0] ,F ,okfuns , ,good-field-02 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addarray(r, ty, vals, st), sk, r0)]]