russellTheoremForallx = [st|
    ExAy(-Fyy <-> Fxy):AS
       Ay(-Fyy<->Fry):AS
       -Frr<->Frr:AE 2
            -Frr:AS
            Frr:<->E 3 4
            -Frr:R 4
       Frr:-E 4-6
       -Frr:<->E 7 3
            ExAy(-Fyy <-> Fxy):AS
            Frr:R 7
            -Frr:R 8
       -ExAy(-Fyy <-> Fxy):-I 9-11
    -ExAy(-Fyy <-> Fxy):EE 1 2-12
    ExAy(-Fyy <-> Fxy):R 1
-ExAy(-Fyy <-> Fxy):-I 1-14|]
russellTheoremForallx = [st|
    ExAy(-Fyy <-> Fxy):AS
       Ay(-Fyy<->Fry):AS
       -Frr<->Frr:AE 2
            -Frr:AS
            Frr:<->E 3 4
            -Frr:R 4
       Frr:-E 4-6
       -Frr:<->E 7 3
            ExAy(-Fyy <-> Fxy):AS
            Frr:R 7
            -Frr:R 8
       -ExAy(-Fyy <-> Fxy):-I 9-11
    -ExAy(-Fyy <-> Fxy):EE 1 2-12
    ExAy(-Fyy <-> Fxy):R 1
-ExAy(-Fyy <-> Fxy):-I 1-14|]
russellTheoremForallx = [st|
    ExAy(-Fyy <-> Fxy):AS
       Ay(-Fyy<->Fry):AS
       -Frr<->Frr:AE 2
            -Frr:AS
            Frr:<->E 3 4
            -Frr:R 4
       Frr:-E 4-6
       -Frr:<->E 7 3
            ExAy(-Fyy <-> Fxy):AS
            Frr:R 7
            -Frr:R 8
       -ExAy(-Fyy <-> Fxy):-I 9-11
    -ExAy(-Fyy <-> Fxy):EE 1 2-12
    ExAy(-Fyy <-> Fxy):R 1
-ExAy(-Fyy <-> Fxy):-I 1-14|]