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Proof step 30 from proof cyclic-addrefarray (previous step)

vals[i→n(i)] = refval(r0), validrefs(str, r0 ' + refs, ty, addarray(r, ty, vals, st)), 0 ≤ i, newref(r, st), type∃(str, ty), is_reftype(ty), is_array(str, r, addarray(r, ty, vals, st)), i < n→i(# vals), vals[i→n(i)] ∈ vals → ¬ junkref(str, vals[i→n(i)] .refval, st) ∧ ¬ cyclic(str, vals[i→n(i)] .refval, st) ∧ is_referencevalue(vals[i→n(i)]) ∧ (vals[i→n(i)] .refval ≠ jvmref → st[vals[i→n(i)] .refval -- _type] .type ≤ ty), ∀ val. val ∈ vals → ¬ junkref(str, val .refval, st) ∧ ¬ cyclic(str, val .refval, st) ∧ is_referencevalue(val) ∧ (val .refval ≠ jvmref → st[val .refval -- _type] .type ≤ ty) ⊦ vals = [], ty .jtelemtype = abstract_type, ty .jtelemtype = void_type, r = jvmref, r ≠ r0 ∧ ¬ r ∈ refs ∧ ¬ r0 ∈ refs ∧ ¬ dups(refs)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 29:
vals[i→n(i)] = refval(r0), i < n→i(# vals), is_array(str, r, addarray(r, ty, vals, st)), is_reftype(ty), type∃(str, ty), newref(r, st), 0 ≤ i, validrefs(str, r0 ' + refs, ty, addarray(r, ty, vals, st)), ∀ val. val ∈ vals → ¬ junkref(str, val .refval, st) ∧ ¬ cyclic(str, val .refval, st) ∧ is_referencevalue(val) ∧ (val .refval ≠ jvmref → st[val .refval -- _type] .type ≤ ty), refval(r0) ∈ vals → ¬ junkref(str, r0, st) ∧ ¬ cyclic(str, r0, st) ∧ (r0 ≠ jvmref → st[r0 -- _type] .type ≤ ty) ⊦ r = jvmref, ty .jtelemtype = void_type, ty .jtelemtype = abstract_type, vals = [], r ≠ r0 ∧ ¬ r ∈ refs ∧ ¬ r0 ∈ refs ∧ ¬ dups(refs)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ refval(r) .refval = r])]]