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Proof step 51 from proof fits-put-02 (previous step)

(st[r1 -- i ', byteval(by)][r -- sk]) = refval(r0), fits(r0, sks0, st[r1 -- i ', byteval(by)]), okarray(r1, byte_type, st), is_referencevalue(st[r -- (sk ' + sks0)]), r1 ∈ 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), ∀ st, r, r1, i, by, str. is_referencevalue(st[r -- sks0]) ∧ okarray(r1, byte_type, st) ∧ fits(r, sks0, st[r1 -- i ', byteval(by)]) ∧ r1 ∈ st → r1 = jvmref ∨ fits(r, sks0, st) ∨ junkref(str, r, st) ⊦ r -- sk = r1 -- i ', r = jvmref, r1 = jvmref, fits(r, sk ' + sks0, st), junkref(str, r, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ rk ≠ rk0 → (st[rk0, val][rk]) = st[rk]])]]