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Proof step 41 from proof fits-put-01 (previous step)

sk = i0 ', st[r -- sk] = refval(r0), is_array(str, r, st), okarray(r1, byte_type, st), fits(r0, sks0, st), r1 ∈ st, is_referencevalue(st[r0 -- sks0]), is_arraytype(st[r -- _type] .type), is_indexkey(sk), i0 < st[r -- _length] .intval, 0 ≤ i0, 0 < st[r -- _length] .intval, ∀ st, r, r1, str, i, by. is_referencevalue(st[r -- sks0]) ∧ okarray(r1, byte_type, st) ∧ fits(r, sks0, st) ∧ r1 ∈ st ∧ is_valid_ref(str, r, st) → r1 = jvmref ∨ r = jvmref ∨ fits(r, sks0, st[r1 -- i ', byteval(by)]) ∨ junkref(str, r, st), r ≠ r1 ∨ sk ≠ i ' ⊦ sks0 = [], r1 = jvmref, r = jvmref, junkref(str, r, st), fits(r0, sks0, st[r1 -- i ', byteval(by)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 40:
st[r -- i0 '] = refval(r0), is_array(str, r, st), okarray(r1, byte_type, st), fits(r0, sks0, st), r1 ∈ st, is_referencevalue(st[r0 -- sks0]), is_arraytype(st[r -- _type] .type), i0 < st[r -- _length] .intval, 0 < st[r -- _length] .intval, 0 ≤ i0, ∀ st, r, r1, str, i, by. is_referencevalue(st[r -- sks0]) ∧ okarray(r1, byte_type, st) ∧ fits(r, sks0, st) ∧ r1 ∈ st ∧ is_valid_ref(str, r, st) → r1 = jvmref ∨ r = jvmref ∨ fits(r, sks0, st[r1 -- i ', byteval(by)]) ∨ junkref(str, r, st), r ≠ r1 ∨ i0 ≠ i ⊦ sks0 = [], r1 = jvmref, r = jvmref, junkref(str, r, st), fits(r0, sks0, st[r1 -- i ', byteval(by)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0], [CSIMPSEQ : ⊦ is_indexkey(i ')])]]