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Proof step 24 from proof fits-put-short-02 (previous step)

is_obj(str, r, st), st[r -- sk] = refval(r0), is_shortvalue(st[r1 -- fs ']), 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, r ≠ r1 ∨ _type ≠ fs ', junkref(str, r0, st) ∨ fits(r0, sks0, st[r1 -- fs ', shortval(sho)]) ⊦ r = jvmref, junkref(str, r, st), fits((st[r1 -- fs ', shortval(sho)][r -- sk]) .refval, sks0, st[r1 -- fs ', shortval(sho)]) ∧ (is_arraytype(st[r -- _type] .type) → ¬ is_fskey(sk) ∧ ¬ sk .index < 0 ∧ ¬ (st[r1 -- fs ', shortval(sho)][r -- _length]) .intval ≤ sk .index) ∧ is_referencevalue(st[r1 -- fs ', shortval(sho)][r -- sk])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
st[r -- sk] = refval(r0), is_obj(str, r, st), is_shortvalue(st[r1 -- fs ']), fits(r0, sks0, st), is_classtype(st[r -- _type] .type), sk ∈ instfields(st[r -- _type] .type .class), r ≠ r1 ∨ _type ≠ fs ', junkref(str, r0, st) ∨ fits(r0, sks0, st[r1 -- fs ', shortval(sho)]) ⊦ r = jvmref, junkref(str, r, st), fits((st[r1 -- fs ', shortval(sho)][r -- sk]) .refval, sks0, st[r1 -- fs ', shortval(sho)]) ∧ is_referencevalue(st[r1 -- fs ', shortval(sho)][r -- sk])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_classtype(ty) → ¬ is_arraytype(ty)], [CSIMPSEQ : ⊦ ¬ is_classtype (st[r -- _type] .type) → ¬ is_obj(str, r, st)])]]