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Proof step 49 from proof fits-put-stronger (previous step)

st[r1 -- i '] = refval(r0), i < st[r1 -- _length] .intval, fits(r0, sks0, st), okreftype(refval(r1), mkarraytype(byte_type), st), r1 -- _length ∈ st, is_integervalue(st[r1 -- _length]), is_arrayref(r1, st[r1 -- _length] .intval, st), 0 ≤ i, 0 < st[r1 -- _length] .intval, r1 ∈ st, 0 ≤ st[r1 -- _length] .intval, ∀ r, st, r1, i, by, str. fits(r, sks0, st) ∧ okarray(r1, byte_type, st) ∧ r1 ∈ st → (st[r1 -- i ', byteval(by)][r -- sks0]) = st[r -- sks0] ∨ r1 = jvmref ∨ junkref(str, r, st), ∀ j. ¬ j < 0 ∧ ¬ st[r1 -- _length] .intval ≤ j → is_bytevalue(st[r1 -- j ']) ⊦ sks0 = [], (st[r1 -- i ', byteval(by)][byteval(by) .refval -- sks0]) = st[r0 -- sks0], r1 = jvmref, junkref(str, r1, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 48:
st[r1 -- _length] = intval(i0), st[r1 -- i '] = refval(r0), i < i0, fits(r0, sks0, st), okreftype(refval(r1), mkarraytype(byte_type), st), r1 -- _length ∈ st, is_integervalue(st[r1 -- _length]), is_arrayref(r1, i0, st), 0 ≤ i, 0 < i0, r1 ∈ st, 0 ≤ i0, ∀ r, st, r1, i, by, str. fits(r, sks0, st) ∧ okarray(r1, byte_type, st) ∧ r1 ∈ st → (st[r1 -- i ', byteval(by)][r -- sks0]) = st[r -- sks0] ∨ r1 = jvmref ∨ junkref(str, r, st), ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → is_bytevalue(st[r1 -- j ']) ⊦ sks0 = [], (st[r1 -- i ', byteval(by)][byteval(by) .refval -- sks0]) = st[r0 -- sks0], r1 = jvmref, junkref(str, r1, st)

Rule argument

[speclemmaarg: ,is_integervalue(val) → (i = val .intval ↔ val = intval(i)) ,[val, i] → [st[r1 -- _length], i0] ,T ,javavalue , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_integervalue(val) → ( i = val .intval ↔ val = intval(i))])], [EXTRATERMS : (st[r1 -- _length], i0)]]