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Proof step 14 from proof getarray-put-03 (previous step)

∀ j0, r, i, st, r0, fs, val. i→n(j0) < i→n(j) → (true → getarray(r, i, j0, st[r0 -- fs ', val]) = getarray(r, i, j0, st)) ⊦ getarray(r, i, j, st[r0 -- fs ', val]) = getarray(r, i, j, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ 1 < j → getarray(r, i, j, st) = getarray(r, i, j - 1, st) + st[r -- (i + j - 1) ']
Proof step 6:
¬ 1 < j, ∀ j0, r, i, st, r0, fs, val. i→n(j0) < i→n(j) → (true → getarray(r, i, j0, st[r0 -- fs ', val]) = getarray(r, i, j0, st)) ⊦ getarray(r, i, j, st[r0 -- fs ', val]) = getarray(r, i, j, st)
Proof step 13:
1 < j, ∀ j0, r, i, st, r0, fs, val. i→n(j0) < i→n(j) → (true → getarray(r, i, j0, st[r0 -- fs ', val]) = getarray(r, i, j0, st)) ⊦ getarray(r, i, j - 1, st[r0 -- fs ', val]) + (st[r0 -- fs ', val][r -- (i + j - 1) ']) = getarray(r, i, j, st)

Rule argument

[crewrite-arg: getArray-rec , F , [st, j, i, r] → [st[r0 -- fs ', val], j, i, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r0 -- fs ', val], j, i, r)]]