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Proof step 24 from proof ac-lookup-04 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ is_indexkey(fv .1) → addclass(class, fv ' + fis, st) = addclass(class, fis, st)
Proof step 20:
¬ is_indexkey(fv .1), ∀ r, class1, st, sk. r = jvmref ∨ (addclass(class1, fis0, st)[r -- sk]) = st[r -- sk] ⊦ r = jvmref, (addclass(class1, fv ' + fis0, st)[r -- sk]) = st[r -- sk]
Proof step 23:
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]

Rule argument

[crewrite-arg: ac-no2 , F , [st, fis, fv, class] → [st, fis0, fv, class1] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, fis0, fv, class1)]]