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Proof step 13 from proof add-at-neg (previous step)

i < 0 ⊦ (addarray(r, ty, vals, st)[r -- i ']) = st[r -- i ']

User applied rule induction

And obtained the following new goals

Proof step 12:
i < 0, ∀ st, ty, r, i, vals0. # vals0 < # vals → (i < 0 → (addarray(r, ty, vals0, st)[r -- i ']) = st[r -- i ']) ⊦ (addarray(r, ty, vals, st)[r -- i ']) = st[r -- i ']

Rule argument

[INDHYPARG : [STANDARDINDUCTIONTYPE : ], true, false, # vals, [] → [], <]

Additional information

[[CONCRETESIMPRULES : ([CSIMPLESSPRED : <])], [EXTRATERMS : (# vals)]]