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Proof step 10 from proof validref-addarray-same (previous step)

⊦ validref(str, r, mkarraytype(ty), addarray(r, ty, i, st)) ↔ r = jvmref ∨ ¬ i < 0 ∧ type∃(str, ty) ∧ ty .jtelemtype ≠ abstract_type ∧ ty .jtelemtype ≠ void_type

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validref(str, r, ty, st) ↔ r = jvmref ∨ st[r -- _type] .type ≤ ty ∧ ¬ junkref(str, r, st)
Proof step 9:
⊦ r = jvmref ∨ (addarray(r, ty, i, st)[r -- _type]) .type ≤ mkarraytype(ty) ∧ ¬ junkref(str, r, addarray(r, ty, i, st)) ↔ r = jvmref ∨ ¬ i < 0 ∧ type∃(str, ty) ∧ ty .jtelemtype ≠ abstract_type ∧ ty .jtelemtype ≠ void_type

Rule argument

[crewrite-arg: validref-def , F , [st, ty, r, str] → [addarray(r, ty, i, st), mkarraytype(ty), r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addarray(r, ty, i, st), mkarraytype(ty), r, str)]]