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Proof step 6 from proof switch-addarray-addclass-01 (previous step)

0 ≤ i1, ∀ st, fis, class, val, r, i0. i→n(i0) < i→n(i1 + 1) → (true → r = jvmref ∨ addarray(r, val, i0, addclass(class, fis, st)) = addclass(class, fis, addarray(r, val, i0, st))) ⊦ r = jvmref, (addarray(r, val, i1, addclass(class, fis, st))[r -- i1 ', val]) = addclass(class, fis, addarray(r, val, i1, st)[r -- i1 ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ addclass(class, fis, st[r -- i ', val]) = (addclass(class, fis, st)[r -- i ', val])
Proof step 5:
0 ≤ i1, ∀ st, fis, class, val, r, i0. i→n(i0) < i→n(i1 + 1) → (true → r = jvmref ∨ addarray(r, val, i0, addclass(class, fis, st)) = addclass(class, fis, addarray(r, val, i0, st))) ⊦ r = jvmref, (addarray(r, val, i1, addclass(class, fis, st))[r -- i1 ', val]) = (addclass(class, fis, addarray(r, val, i1, st))[r -- i1 ', val])

Rule argument

[speclemmaarg: , addclass(class, fis, st[r -- i ', val]) = (addclass(class, fis, st)[r -- i ', val]) ,[val, i, r, st, fis, class] → [val, i1, r, addarray(r, val, i1, st), fis, class] ,F ,addfuns , ,addclass-switch ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, i1, r, addarray(r, val, i1, st), fis, class)]]