prove properties (i), f(vv) = f(v) Uf (v) (iii) (1) = f() f(v) (viii), f() f()...
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prove properties (i), f¹(v₁v₂) = f(v₁) Uf¹ (v₂) (iii) (1₂) = f(₁) f¹(v₂) (viii), f¹(₁₂) f¹(₁) f¹ (₂) and show by a concrete counterexample that in general equality does not hold in (viii) prove properties (i), f¹(v₁v₂) = f(v₁) Uf¹ (v₂) (iii) (1₂) = f(₁) f¹(v₂) (viii), f¹(₁₂) f¹(₁) f¹ (₂) and show by a concrete counterexample that in general equality does not hold in (viii)
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