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Proof step 19 from proof okarray-put-okval (previous step)

r -- j ' = r -- i ', okarray(r, ty, st), okval(val, ty), r ∈ st ⊦ r = jvmref, okreftype(refval(r), mkarraytype(ty), st[r -- i ', val]) ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ is_arrayref(r, st[r -- _length] .intval, st[r -- i ', val]) ∧ (0 ≤ j ∧ j < st[r -- _length] .intval → okval(st[r -- i ', val][r -- j '], ty))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
r ∈ st, okval(val, ty), okarray(r, ty, st) ⊦ r = jvmref, okreftype(refval(r), mkarraytype(ty), st[r -- i ', val]) ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ is_arrayref(r, st[r -- _length] .intval, st[r -- i ', val])

Rule argument

[emptyarg]

Additional information

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