How can one increase the quality of the following plot
RegionPlot3D[{2z>= x+y&&x-y==0},{x,0,1},{y,0,1},{z,0,1},Mesh->None,MaxRecursion->6] Some clues here.
RegionPlot3D[ DiscretizeRegion[ ImplicitRegion[{2 z >= x + y && x - y == 0}, {x, y, z}]]] Or using ContourPlot3D.
ContourPlot3D[x - y == 0, {x, 0, 1}, {y, 0, 1}, {z, 0, 1}, RegionFunction -> Function[{x, y, z}, 2 z >= x + y], RegionBoundaryStyle -> None] ContourPlot3D[ x - y == 0, {x, y, z} ∈ ImplicitRegion[2 z >= x + y, {{x, 0, 1}, {y, 0, 1}, {z, 0, 1}}], RegionBoundaryStyle -> None]
PlotPoints -> 40? $\endgroup${2 z >= x + y && Abs[x - y] <= 0.02}? $\endgroup$