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Proof step 11 from proof at-1dim-01 (previous step)

j < i, 0 ≤ j, 0 < i ⊦ (addarray(r, val, i, st)[r -- j ']) = val

User applied rule induction

And obtained the following new goals

Proof step 10:
j < i ∧ 0 ≤ j ∧ 0 < i, ∀ st, val, r, j, i0. i→n(i0) < i→n(i) → (j < i0 ∧ 0 ≤ j ∧ 0 < i0 → (addarray(r, val, i0, st)[r -- j ']) = val) ⊦ (addarray(r, val, i, st)[r -- j ']) = val

Rule argument

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

Additional information

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