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Proof step 12 from proof validref-array-rec (previous step)

st[r -- i '] = refval(r0), is_referencevalue(st[r -- i ']), is_array(str, r, st), st[r -- _type] .type ≤ ty, i < st[r -- _length] .intval, 0 ≤ i, 0 < st[r -- _length] .intval, ∀ i0. i0 < 0 ∨ st[r -- _length] .intval ≤ i0 ∨ ¬ is_referencevalue(st[r -- i0 ']) ∨ st[r -- i0 '] .refval = jvmref ∨ st[st[r -- i0 '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∧ validref(str, st[r -- i0 '] .refval, st[r -- _type] .type .type, st) ⊦ r0 = jvmref, r = jvmref, st[r0 -- _type] .type ≤ st[r -- _type] .type .type ∧ ¬ junkref(str, r0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
st[r -- i '] = refval(r0), 0 < st[r -- _length] .intval, 0 ≤ i, i < st[r -- _length] .intval, st[r -- _type] .type ≤ ty, is_array(str, r, st), ∀ i0. i0 < 0 ∨ st[r -- _length] .intval ≤ i0 ∨ ¬ is_referencevalue(st[r -- i0 ']) ∨ st[r -- i0 '] .refval = jvmref ∨ st[st[r -- i0 '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∧ validref(str, st[r -- i0 '] .refval, st[r -- _type] .type .type, st) ⊦ r = jvmref, r0 = jvmref, st[r0 -- _type] .type ≤ st[r -- _type] .type .type ∧ ¬ junkref(str, r0, st)

Rule argument

[emptyarg]

Additional information

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