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Proof step 7 from proof addarray-identity (previous step)

st[r -- _type] .type = mkarraytype(ty), is_array(r, st), r -- _type ∈ st, r ∈ st ⊦ typeval(mkarraytype(ty)) = st[r -- _type]

User applied rule insert elim lemma

And closed the goal!

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r -- _type], ty0] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_typevalue(val) → val .type = void_type], [CSIMPSEQ : ⊦ mkarraytype(ty) ≠ void_type], [CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r -- _type], ty0)]]