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Proof step 13 from proof get-first (previous step)

0 < j ⊦ getarray(r, i, j, st) .first = st[r -- i ']

User applied rule induction

And obtained the following new goals

Proof step 12:
0 < j, ∀ j0, r, i, st. i→n(j0) < i→n(j) → (0 < j0 → getarray(r, i, j0, st) .first = st[r -- i ']) ⊦ getarray(r, i, j, st) .first = st[r -- i ']

Rule argument

[INDHYPARG : [STANDARDINDUCTIONTYPE : ], true, false, i→n(j), [] → [], <]

Additional information

[[CONCRETESIMPRULES : ([CSIMPLESSPRED : <])], [EXTRATERMS : (i→n(j))]]