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Proof step 74 from proof putarray-addarray-one (previous step)

sk = i ', is_reftype(ty), is_indexkey(sk) ⊦ sk = _type, sk = _length, r -- sk ∈ addarray(r, ty, n→i(# vals) + 1, st) ∨ 0 < i ∧ i ≤ n→i(# vals) ↔ r -- sk ∈ addarray(r, ty, refval(jvmref) ' + vals, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 68:
⊦ r -- j ' ∈ addarray(r, ty, vals, st) ↔ r -- j ' ∈ st ∨ 0 ≤ j ∧ j < n→i(# vals)
Proof step 73:
is_reftype(ty) ⊦ r -- i ' ∈ addarray(r, ty, n→i(# vals) + 1, st) ∨ 0 < i ∧ i ≤ n→i(# vals) ↔ r -- i ' ∈ st ∨ ¬ i < 0 ∧ ¬ n→i(# vals) < i

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_indexkey(i ')], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i < j + 1 ↔ i ≤ j], [CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ n→i(m + n) = n→i(m) + n→i(n)], [CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPSEQ : ⊦ # val ' = 0 +1], [CSIMPSEQ : ⊦ # (vals + vals0) = # vals + # vals0], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ _length ≠ i '], [CSIMPSEQ : ⊦ _type ≠ i '])]]