:: deftheorem Def2 defines max+ MESFUNC2:def 2 :
for C being non empty set
for f, b₃ being PartFunc of C,ExtREAL holds
( b₃ = max+ f iff ( dom b₃ = dom f & ( for x being Element of C st x in dom b₃ holds
b₃ . x = max ((f . x),0.) ) ) );