Template:Individual-TLP-paragraph-es-6.241

6.241 Así reza la prueba de la proposición 2 × 2 = 4:

$({\mathrm{\Omega }}^{\nu }{)}^{\mu \prime }x={\mathrm{\Omega }}^{\nu \times \mu \prime }x\text{ Def.}$

$({\mathrm{\Omega }}^{2\times 2\prime }x=({\mathrm{\Omega }}^2{)}^{2\prime }x=({\mathrm{\Omega }}^2{)}^{1+1\prime }x={\mathrm{\Omega }}^{2\prime }{\mathrm{\Omega }}^{2\prime }x={\mathrm{\Omega }}^{1+1\prime }{\mathrm{\Omega }}^{1+1\prime }x$

$({\mathrm{\Omega }}^{\prime }\mathrm{\Omega }{)}^{\prime }({\mathrm{\Omega }}^{\prime }\mathrm{\Omega }{)}^{\prime }x={\mathrm{\Omega }}^{\prime }{\mathrm{\Omega }}^{\prime }{\mathrm{\Omega }}^{\prime }{\mathrm{\Omega }}^{\prime }x={\mathrm{\Omega }}^{1+1+1+1\prime }x={\mathrm{\Omega }}^{4\prime }x$