The Consensus Theorem

XY + X’Z + YZ = XY + X’Z

= XY + X’Z + (X + X’)YZ

= XY + X’Z + XYZ + X’YZ

= XY + XYZ + X’Z + X’YZ

= XY(1 + Z) + X’Z(1 + Y)

= XY·1 + X’Z·1

XY + X’Z + YZ = XY + X’Z + 1·YZ

= XY + X’Z

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