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Proof step 15 from proof addclass-validFields (previous step)

unique_al(fis) ⊦ r = jvmref, (∀ sk. sk ∈ fis .keys → r -- sk ∈ addclass(class, fis0, st)) ↔ hasKeys(r, fis .keys, st), _length ∈ fis, _type ∈ fis

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ hasKeys(r, sks, st) ↔ (∀ sk. sk ∈ sks → r -- sk ∈ st)
Proof step 14:
unique_al(fis) ⊦ r = jvmref, (∀ sk. sk ∈ fis .keys → r -- sk ∈ addclass(class, fis0, st)) ↔ (∀ sk. sk ∈ fis .keys → r -- sk ∈ st), _length ∈ fis, _type ∈ fis

Rule argument

[speclemmaarg: ,hasKeys(r, sks, st) ↔ (∀ sk. sk ∈ sks → r -- sk ∈ st) ,[st, sks, r] → [st, fis .keys, r] ,F ,okfuns , ,hasKeys-all ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, fis .keys, r)]]