:: deftheorem defines R_Normed_Algebra_of_ContinuousFunctions C0SP2:def 5 :
for X being non empty compact TopSpace holds R_Normed_Algebra_of_ContinuousFunctions X = Normed_AlgebraStr(# (ContinuousFunctions X),(mult_ ((ContinuousFunctions X),(RAlgebra the carrier of X))),(Add_ ((ContinuousFunctions X),(RAlgebra the carrier of X))),(Mult_ ((ContinuousFunctions X),(RAlgebra the carrier of X))),(One_ ((ContinuousFunctions X),(RAlgebra the carrier of X))),(Zero_ ((ContinuousFunctions X),(RAlgebra the carrier of X))),(ContinuousFunctionsNorm X) #);