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Proof step 13 from proof get-put-01 (previous step)

1 < j, 0 < j, ∀ j0, r, i, st, r0, fs, val. i→n(j0) < i→n(j) → (true → bytevalues(getarray(r, i, j0, st[r0 -- fs ', val])) = bytevalues(getarray(r, i, j0, st))) ⊦ bytevalues(getarray(r, i, j - 1, st[r0 -- fs ', val])) + st[r -- (i + j - 1) '] .byteval ' = bytevalues(getarray(r, i, j, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ 1 < j → getarray(r, i, j, st) = getarray(r, i, j - 1, st) + st[r -- (i + j - 1) ']
Proof step 12:
1 < j, 1 < j, 0 < j, ∀ j0, r, i, st, r0, fs, val. i→n(j0) < i→n(j) → (true → bytevalues(getarray(r, i, j0, st[r0 -- fs ', val])) = bytevalues(getarray(r, i, j0, st))) ⊦ bytevalues(getarray(r, i, j - 1, st[r0 -- fs ', val])) + st[r -- (i + j - 1) '] .byteval ' = bytevalues(getarray(r, i, j - 1, st) + st[r -- (i + j - 1) '])

Rule argument

[crewrite-arg: getArray-rec, F, [st, j, i, r] → [st, j, i, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, j, i, r)]]