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Proof step 3 from proof compatarray-abstract (previous step)

st[r -- _type] .type = mkarraytype(abstract_type), st[r -- _length] = intval(i), 0 < i, is_arrayref(r, i, st), r -- _length ∈ st, r ∈ st, compat(str, st[r -- 0 '], abstract_type, st), ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → compat(str, st[r -- j '], abstract_type, st) ⊦ r = jvmref, i = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ compat(str, val, ty, st) ↔ okval(val, ty) ∧ ( is_referencevalue(val) ∧ val .refval ≠ jvmref → val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ is_reftype(st[val .refval -- _type] .type) ∧ (has_classtype(st[val .refval -- _type] .type) → tdname+∃(str, st[val .refval -- _type] .type .jtelemtype .class)) ∧ (is_classtype(st[val .refval -- _type] .type) → class+∃(str, st[val .refval -- _type] .type .class)) ∧ asgcomp(str, val, ty, st))

Rule argument

[crewrite-arg: value-compat , F , [st, ty, val, str] → [st, abstract_type, st[r -- 0 '], str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ okval(val, abstract_type)])], [EXTRATERMS : (st, abstract_type, st[r -- 0 '], str)]]