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Let X=(Xt)t≥0,Y=(Yt)t≥0X=(X_{t})_{t\ge 0},Y=(Y_{t})_{t\ge 0}X=(Xt)t≥0,Y=(Yt)t≥0 be processes on (Ω,F,P)(\Omega,\mathcal{F},P)(Ω,F,P). X,YX,YX,Y are indistinguishable if P(Xt=Yt,t≥0)=1.P(X_{t}=Y_{t},t\ge 0)=1.P(Xt=Yt,t≥0)=1.