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Proof step 6 from proof cyclic-addarray-this (previous step)

¬ (is_array(str, r, addarray(r, ty, i, st)) ∧ (addarray(r, ty, i, st)[r -- _type]) .type ≤ mkarraytype(ty)), newref(r, st), validrefs(str, r ' + refs0, mkarraytype(ty), addarray(r, ty, i, st)), is_valid_ref(str, r, addarray(r, ty, i, st)) ⊦ r = jvmref, ¬ r ∈ refs0 ∧ ¬ dups(refs0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
newref(r, st), validrefs(str, r ' + refs0, mkarraytype(ty), addarray(r, ty, i, st)), is_valid_ref(str, r, addarray(r, ty, i, st)) ⊦ r = jvmref, ¬ r ∈ refs0 ∧ ¬ dups(refs0), type∃(str, ty) ∧ ¬ i < 0 ∧ ty .jtelemtype ≠ void_type ∧ ty .jtelemtype ≠ abstract_type

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ty ≤ ty], [CSIMPSEQ : ⊦ mkarraytype(ty) ≤ mkarraytype(ty0) ↔ ty ≤ ty0], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ (addarray(r, ty, i, st) [r -- _type ] ) = typeval(mkarraytype(ty))], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ is_array (str, r, addarray(r, ty, i, st)) ↔ ¬ ¬ ( type∃(str, ty) ∧ 0 ≤ i ∧ r ≠ jvmref ∧ ty .jtelemtype ≠ void_type ∧ ty .jtelemtype ≠ abstract_type)])]]