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Proof step 39 from proof okarray-put-okval (previous step)

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 weak cut applied rule cut formula

And obtained the following new goals

Proof step 19:
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))
Proof step 38:
okarray(r, ty, st), okval(val, ty), r ∈ st ⊦ r -- j ' = r -- i ', 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))

Rule argument

[fma-arg: r -- j ' = r -- i ']

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (r -- j ' = r -- i ')]]