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Proof step 4 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), r0 ≠ jvmref ∧ (¬ is_valid_ref(str, r0, st) ∨ ¬ is_arraytype(st[r0 -- _type] .type) ∨ st[r0 -- _type] .type .type ≠ int_type)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ rk1 .ref = jvmref ∧ validref(str, r, ty1, st) → validref(str, r, ty1, st[rk1, val])

Rule argument

[crewrite-arg: validref-put-statfield-01 , F , [val, rk1, st, ty1, r, str] → [intval(j), r0 -- i ', st, ty, r, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (r -- sk) .ref = r], [CSIMPSEQ : ⊦ okval(val, int_type) ↔ is_integervalue(val)], [CSIMPSEQ : ⊦ is_integervalue(intval(i))])], [EXTRATERMS : (intval(j), r0 -- i ', st, ty, r, str)]]