let x, y, c be set ; :: thesis: ( [<*x,y*>,and2a] in InnerVertices (BorrowStr (x,y,c)) & [<*y,c*>,and2] in InnerVertices (BorrowStr (x,y,c)) & [<*x,c*>,and2a] in InnerVertices (BorrowStr (x,y,c)) )
[<*x,y*>,and2a] in InnerVertices (1GateCircStr (<*x,y*>,and2a)) by FACIRC_1:47;
then [<*x,y*>,and2a] in InnerVertices ((1GateCircStr (<*x,y*>,and2a)) +* (1GateCircStr (<*y,c*>,and2))) by FACIRC_1:21;
then A1: [<*x,y*>,and2a] in InnerVertices (BorrowIStr (x,y,c)) by FACIRC_1:21;
[<*y,c*>,and2] in InnerVertices (1GateCircStr (<*y,c*>,and2)) by FACIRC_1:47;
then [<*y,c*>,and2] in InnerVertices ((1GateCircStr (<*x,y*>,and2a)) +* (1GateCircStr (<*y,c*>,and2))) by FACIRC_1:21;
then A2: [<*y,c*>,and2] in InnerVertices (BorrowIStr (x,y,c)) by FACIRC_1:21;
[<*x,c*>,and2a] in InnerVertices (1GateCircStr (<*x,c*>,and2a)) by FACIRC_1:47;
then [<*x,c*>,and2a] in InnerVertices (BorrowIStr (x,y,c)) by FACIRC_1:21;
hence ( [<*x,y*>,and2a] in InnerVertices (BorrowStr (x,y,c)) & [<*y,c*>,and2] in InnerVertices (BorrowStr (x,y,c)) & [<*x,c*>,and2a] in InnerVertices (BorrowStr (x,y,c)) ) by A1, A2, FACIRC_1:21; :: thesis: verum