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Proof step 49 from proof addarray-put-01 (previous step)

sk = i ', r -- sk ∈ addarray(r, ty, i0 + j + 1, st), is_indexkey(sk), 0 ≤ i0 + j, 0 ≤ i0, 0 < j, i < 0 ∨ j + i0 < i ⊦ sk = _length, sk = _type, sk = j ', j = 0, r -- sk ∈ st

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 48:
r -- i ' ∈ addarray(r, ty, i0 + j + 1, st), 0 ≤ i0 + j, 0 ≤ i0, 0 < j, i < 0 ∨ j + i0 < i ⊦ j = 0, i = j, r -- i ' ∈ st

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_indexkey(i ')], [CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0], [CSIMPSEQ : ⊦ _type ≠ i '], [CSIMPSEQ : ⊦ _length ≠ i '])]]