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Proof step 20 from proof putarray-add-same-02 (previous step)

⊦ putArray(vals, r, 0, addarray(r, initial_value(ty), n→i(# vals), st)) = addarray(r, vals, 0, st)

User applied rule induction

And obtained the following new goals

Proof step 19:
true, ∀ st, ty, r, vals0. # vals0 < # vals → (true → putArray(vals0, r, 0, addarray(r, initial_value(ty), n→i(# vals0), st)) = addarray(r, vals0, 0, st)) ⊦ putArray(vals, r, 0, addarray(r, initial_value(ty), n→i(# vals), st)) = addarray(r, vals, 0, st)

Rule argument

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

Additional information

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