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Proof step 8 from proof fits-put-short-01 (previous step)

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

Heuristic elimination applied rule insert elim lemma

And closed the goal!

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r1 -- _type], ty] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_typevalue(typeval(ty))], [CSIMPSEQ : ⊦ ¬ is_shortvalue(typeval(ty))], [CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r1 -- _type], ty)]]