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Proof step 13 from proof fits-put-01 (previous step)

¬ r -- sk ≠ r1 -- i ', st[r -- sk] = refval(r0), r1 ∈ st, is_valid_ref(str, r, st), is_referencevalue(st[r -- (sk ' + sks0)]), okarray(r1, byte_type, st), fits(r0, sks0, st), is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class), is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < 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) ⊦ r1 = jvmref, r = jvmref, junkref(str, r, st), is_referencevalue(st[r1 -- i ', byteval(by)][r -- sk]) ∧ (is_arraytype(st[r -- _type] .type) → ¬ is_fskey(sk) ∧ ¬ sk .index < 0 ∧ ¬ st[r -- _length] .intval ≤ sk .index) ∧ fits((st[r1 -- i ', byteval(by)][r -- sk]) .refval, sks0, st[r1 -- i ', byteval(by)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
st[r1 -- i '] = refval(r0), fits(r0, sks0, st), okarray(r1, byte_type, st), is_referencevalue(st[r1 -- (i ' ' + sks0)]), is_valid_ref(str, r1, st), r1 ∈ st, i < st[r1 -- _length] .intval, 0 ≤ i, 0 < st[r1 -- _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) ⊦ r1 = jvmref, junkref(str, r1, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ ¬ is_referencevalue(byteval(by))], [CSIMPSEQ : ⊦ (st[rk, val][rk]) = val], [CSIMPSEQ : ⊦ ¬ is_classtype(mkarraytype(ty))], [CSIMPSEQ : ⊦ i ' .index = i], [CSIMPSEQ : ⊦ is_indexkey(i ')], [CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ okarray(r, byte_type, st) → st[r -- _type] .type = mkarraytype(byte_type)], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0])]]