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Proof step 168 from proof addarray-put-01 (previous step)

i→n(i) = (m + 1) + i→n(j), 1 < i0 + j, 1 < i, 0 < i, i ≤ j + i0, 0 ≤ i, i ≤ i0 + j, 0 < j, 0 ≤ i0 + j, 0 ≤ i0, 0 < i0, j < i, i→n(i0) ≤ m ⊦ j = 0, i = j, initial_value(ty) = (mklist(initial_value(ty), i→n(i0))[m])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 161:
⊦ m < n → (mklist(val, n)[m]) = val
Proof step 167:
¬ m < i→n(i0), i→n(i) = (m + 1) + i→n(j), 1 < i0 + j, 1 < i, 0 < i, i ≤ j + i0, 0 ≤ i, i ≤ i0 + j, 0 < j, 0 ≤ i0 + j, 0 ≤ i0, 0 < i0, j < i, i→n(i0) ≤ m ⊦ j = 0, i = j, initial_value(ty) = (mklist(initial_value(ty), i→n(i0))[m])

Rule argument

[speclemmaarg: ,m < n → (mklist(val, n)[m]) = val ,[m, n, val] → [m, i→n(i0), initial_value(ty)] ,F ,list-del ,javavalues ,get-mklist-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (m, i→n(i0), initial_value(ty))]]