Motivated by many scientific articles about the use of Riemann’s hypothesis, I made a very useful disproof of it: I proved that there are no zeros when Re(s)<1. In this proof, I didn’t suppose that zeta is convergent, but I supposed that the zero is among the images with the relation zeta of a known s=a+ib since zeta is only a relation when it doesn’t converge. I think that suppositions or axioms should be made before trying to find an extension to Zeta because there is the consistent problem of logics that everybody faces: when zeta which is divergent equals a convergent extension.