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Proof step 31 from proof copy-succ (previous step)

⊦ 0 ≤ j → r1 = r0 ∨ ((r -- i ' = r0 -- (i0 + j) ' ⊃ st[r1 -- (i1 + j) ']; arraycopy(r1, i1, r0, i0, j, st)[r -- i '])) = (arraycopy(r1, i1, r0, i0, j, st[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']])[r -- i ']) ∧ ( r -- i ' ∈ (arraycopy(r1, i1, r0, i0, j, st)[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']]) ↔ r -- i ' ∈ arraycopy(r1, i1, r0, i0, j, st[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']]))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 30:
0 ≤ j ⊦ r1 = r0, (((i = i0 + j ∧ r = r0) ⊃ st[r1 -- (i1 + j) ']; arraycopy(r1, i1, r0, i0, j, st)[r -- i '])) = (arraycopy(r1, i1, r0, i0, j, st[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']])[r -- i ']) ∧ ( r -- i ' ∈ (arraycopy(r1, i1, r0, i0, j, st)[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']]) ↔ r -- i ' ∈ arraycopy(r1, i1, r0, i0, j, st[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']]))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st], [CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)])]]