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Proof step 6 from proof validref-intarray-put-01 (previous step)

validref(str, r, ty, st), validref(str, r0, mkarraytype(int_type), st) ⊦ validref(str, r, ty, st[r0 -- i ', intval(j)]), okval(intval(j), st[r0 -- _type] .type .type)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → ¬ validref(str, r, ty, st)
Proof step 5:
¬ (r0 ≠ jvmref ∧ (¬ is_valid_ref(str, r0, st) ∨ ¬ st[r0 -- _type] .type ≤ mkarraytype(int_type))), validref(str, r, ty, st), validref(str, r0, mkarraytype(int_type), st) ⊦ validref(str, r, ty, st[r0 -- i ', intval(j)]), okval(intval(j), st[r0 -- _type] .type .type)

Rule argument

[crewrite-arg: validref-is-junk , F , [st, ty, r, str] → [st, mkarraytype(int_type), r0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, mkarraytype(int_type), r0, str)]]