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Proof step 8 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)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ ¬ is_referencevalue(val) ∧ validref(str, r, ty, st) ∧ okval(val, st[r1 -- _type] .type .type) → validref(str, r, ty, st[r1 -- i ', val])
Proof step 7:
¬ (¬ is_referencevalue(intval(j)) ∧ validref(str, r, ty, st) ∧ okval(intval(j), st[r0 -- _type] .type .type)), validref(str, r, ty, st), validref(str, r0, mkarraytype(int_type), st) ⊦ validref(str, r, ty, st[r0 -- i ', intval(j)])

Rule argument

[crewrite-arg: validref-put-array-norefval , F , [val, i, r1, st, ty, r, str] → [intval(j), i, r0, st, ty, r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (intval(j), i, r0, st, ty, r, str)]]