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Proof step 10 from proof in-1dim-07 (previous step)

⊦ r0 -- fs ' ∈ addarray(r0, val, i, st) ↔ r0 -- fs ' ∈ st

User applied rule induction

And obtained the following new goals

Proof step 9:
true, ∀ st, val, fs, r0, i0. i→n(i0) < i→n(i) → (true → (r0 -- fs ' ∈ addarray(r0, val, i0, st) ↔ r0 -- fs ' ∈ st)) ⊦ r0 -- fs ' ∈ addarray(r0, val, i, st) ↔ r0 -- fs ' ∈ st

Rule argument

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

Additional information

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