let X be non empty set ; :: thesis: for S being SigmaField of X
for M being sigma_Measure of S holds L-1-Space M = Lp-Space M,1
let S be SigmaField of X; :: thesis: for M being sigma_Measure of S holds L-1-Space M = Lp-Space M,1
let M be sigma_Measure of S; :: thesis: L-1-Space M = Lp-Space M,1
Pre-L-Space M = Pre-Lp-Space M,1 by Th009;
hence L-1-Space M = Lp-Space M,1 by Th10a; :: thesis: verum