set f = xor2 ;
let x, y, z be set ; :: thesis: ( [<*x,y*>,xor2 ] in InnerVertices (GFA0AdderStr x,y,z) & GFA0AdderOutput x,y,z in InnerVertices (GFA0AdderStr x,y,z) )
set S = GFA0AdderStr x,y,z;
InnerVertices (GFA0AdderStr x,y,z) = {[<*x,y*>,xor2 ]} \/ {(GFA0AdderOutput x,y,z)} by Th27
.= {[<*x,y*>,xor2 ],(GFA0AdderOutput x,y,z)} by ENUMSET1:41 ;
hence ( [<*x,y*>,xor2 ] in InnerVertices (GFA0AdderStr x,y,z) & GFA0AdderOutput x,y,z in InnerVertices (GFA0AdderStr x,y,z) ) by TARSKI:def 2; :: thesis: verum