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Proof step 2 from proof validref-array-01 (previous step)

validref(str, r, mkarraytype(ty), st), st[r -- _length] .intval < 0 ⊦ r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → ¬ validref(str, r, ty, st)

Rule argument

[crewrite-arg: validref-is-junk , F , [st, ty, r, str] → [st, mkarraytype(ty), r, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ty0 ≤ mkarraytype(ty) ↔ is_arraytype(ty0) ∧ ty0 .type ≤ ty], [CSIMPSEQ : ⊦ is_arraytype (st[r -- _type] .type) ∧ r ≠ jvmref → ( is_valid_ref(str, r, st) ↔ is_array(str, r, st))], [CSIMPSEQ : ⊦ st[r -- _length] .intval < 0 → ¬ is_array(str, r, st)])], [EXTRATERMS : (st, mkarraytype(ty), r, str)]]