nLab associahedron > K4

Pentagon Identity ( w x ) ( y z ) (w\otimes x)\otimes(y\otimes z) ( ( w x ) y ) z ((w\otimes x)\otimes y)\otimes z w ( x ( y z ) ) w\otimes (x\otimes(y\otimes z)) ( w ( x y ) ) z (w\otimes (x\otimes y))\otimes z w ( ( x y ) z ) w\otimes ((x\otimes y)\otimes z) a wx,y,z a_{w\otimes x,y,z} a w,x,yz a_{w,x,y\otimes z} a w,x,y 1 z a_{w,x,y}\otimes 1_{z} 1 w a x,y,z 1_w\otimes a_{x,y,z} a w,xy,z a_{w,x\otimes y,z}

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