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Proof step 23 from proof getarray-in-01 (previous step)

1 < i1, 0 < i1, i < i0 + i1, i0 ≤ i, ∀ r, st, i, i0, i2. i→n(i2) < i→n(i1) → (i0 ≤ i ∧ i < i0 + i2 ∧ 0 < i2 → st[r -- i '] ∈ getarray(r, i0, i2, st)) ⊦ st[r -- i '] ∈ getarray(r, i0, i1 - 1, st) + st[r -- (i0 + i1 - 1) ']

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
i < i0 + i1, i0 ≤ i, 1 < i1, 0 < i1, ∀ r, st, i, i0, i2. i→n(i2) < i→n(i1) → (i0 ≤ i ∧ i < i0 + i2 ∧ 0 < i2 → st[r -- i '] ∈ getarray(r, i0, i2, st)) ⊦ st[r -- i '] = st[r -- (i0 + i1 - 1) '], st[r -- i '] ∈ getarray(r, i0, i1 - 1, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j], [CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPSEQ : ⊦ val ∈ val0 ' ↔ val = val0], [CSIMPSEQ : ⊦ val ∈ vals + vals0 ↔ ¬ ¬ (val ∈ vals ∨ val ∈ vals0)], [CSIMPSEQ : ⊦ vals + val = vals + val '])]]