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Proof step 10 from proof validref-put-array-refval-03 (conclusion)

⊦ validref(str, r, ty, st) ∧ is_indexkey(sk) ∧ is_referencevalue(val) ∧ validref(str, val .refval, st[r0 -- _type] .type .type, st) ∧ r0 ≠ jvmref ∧ is_arraytype(st[r0 -- _type] .type) ∧ (val .refval = jvmref → is_reftype(st[r0 -- _type] .type .type)) → validref(str, r, ty, st[r0 -- sk, val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
is_arraytype(st[r0 -- _type] .type), validref(str, val .refval, st[r0 -- _type] .type .type, st), is_referencevalue(val), is_indexkey(sk), validref(str, r, ty, st), val .refval = jvmref → is_reftype(st[r0 -- _type] .type .type) ⊦ r0 = jvmref, validref(str, r, ty, st[r0 -- sk, val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]