[<*[<*x,y*>,and2a],[<*y,z*>,and2c],[<*z,x*>,nor2]*>,nor3] in InnerVertices (1GateCircStr (<*[<*x,y*>,and2a],[<*y,z*>,and2c],[<*z,x*>,nor2]*>,nor3))
by FACIRC_1:47;
hence
[<*[<*x,y*>,and2a],[<*y,z*>,and2c],[<*z,x*>,nor2]*>,nor3] is Element of InnerVertices (GFA2CarryStr (x,y,z))
by FACIRC_1:21; verum