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Proof step 13 from proof getarray-put-01 (previous step)

i0 < i ∨ i + j ≤ i0 ⊦ getarray(r, i, j, st[r -- i0 ', val]) = getarray(r, i, j, st)

User applied rule induction

And obtained the following new goals

Proof step 12:
i0 < i ∨ i + j ≤ i0, ∀ j0, i0, i, r, st, val. i→n(j0) < i→n(j) → (i0 < i ∨ i + j0 ≤ i0 → getarray(r, i, j0, st[r -- i0 ', val]) = getarray(r, i, j0, st)) ⊦ getarray(r, i, j, st[r -- i0 ', val]) = getarray(r, i, j, st)

Rule argument

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

Additional information

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