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Proof step 23 from proof ac-lookup-04 (previous step)

is_indexkey(fv .1), ∀ r, class1, st, sk. r = jvmref ∨ (addclass(class1, fis0, st)[r -- sk]) = st[r -- sk] ⊦ r = jvmref, (addclass(class1, fis0, st)[r -- sk]) = st[r -- sk]

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 22:
fv = sk0 × val, is_indexkey(sk0), ∀ r, class1, st, sk. r = jvmref ∨ (addclass(class1, fis0, st)[r -- sk]) = st[r -- sk] ⊦ r = jvmref, (addclass(class1, fis0, st)[r -- sk]) = st[r -- sk]

Rule argument

[speclemmaarg: ,sk = fv .1 ∧ val = fv .2 ↔ fv = sk × val ,[fv, sk, val] → [fv, sk0, val] ,T ,pair ,fieldinit ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ sk = fv .1 ∧ val = fv .2 ↔ fv = sk × val])], [EXTRATERMS : (fv, sk0, val)]]