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Proof step 4 from proof copy-init-01 (previous step)

∀ j0, class1, r, i, r0, i0, st. i→n(j0) < i→n(j) → (true → (initundone(class1, arraycopy(r, i, r0, i0, j0, st)) ↔ initundone(class1, st))) ⊦ initundone(class1, arraycopy(r, i, r0, i0, j, st)) ↔ initundone(class1, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ 0 < j → arraycopy(r1, i1, r2, i2, j, st) = arraycopy(r1, i1, r2, i2, j - 1, st[r2 -- (i2 + j - 1) ', st[r1 -- (i1 + j - 1) ']])
Proof step 2:
⊦ j ≤ 0 → arraycopy(r1, i1, r2, i2, j, st) = st
Proof step 3:
0 < j, ∀ j0, class1, r, i, r0, i0, st. i→n(j0) < i→n(j) → (true → (initundone(class1, arraycopy(r, i, r0, i0, j0, st)) ↔ initundone(class1, st))) ⊦ initundone(class1, arraycopy(r, i, r0, i0, j - 1, st[r0 -- (i0 + j - 1) ', st[r -- (i + j - 1) ']])) ↔ initundone(class1, st)

Rule argument

[crewrite-arg: arrayCopy-rec , F , [st, j, i2, r2, i1, r1] → [st, j, i0, r0, i, r] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i])], [EXTRATERMS : (st, j, i0, r0, i, r)]]