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Proof step 52 from proof fits-put-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 51:
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), fits(r, sk ' + sks0, st[r1 -- i ', byteval(by)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]