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Proof step 76 from proof putarray-addarray-one (previous step)

¬ (is_fskey(sk) ∧ sk ≠ _length ∧ sk ≠ _type), is_reftype(ty) ⊦ r -- sk ∈ addarray(r, ty, n→i(# vals) + 1, st) ∨ is_indexkey(sk) ∧ 0 < sk .index ∧ sk .index ≤ 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 64:
⊦ r -- _length ∈ addarray(r, ty, i, st)
Proof step 65:
⊦ r -- _length ∈ addarray(r, ty, vals, st)
Proof step 66:
⊦ r -- _type ∈ addarray(r, ty, i, st)
Proof step 67:
⊦ r -- _type ∈ addarray(r, ty, vals, st)
Proof step 75:
is_reftype(ty), is_indexkey(sk) ⊦ sk = _type, sk = _length, r -- sk ∈ addarray(r, ty, n→i(# vals) + 1, st) ∨ 0 < sk .index ∧ sk .index ≤ n→i(# vals) ↔ r -- sk ∈ addarray(r, ty, refval(jvmref) ' + vals, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)])]]