theorem Th76:
for
A,
B,
C,
D,
E,
F,
J,
M,
N being
set for
h being
Function for
A9,
B9,
C9,
D9,
E9,
F9,
J9,
M9,
N9 being
set st
A <> B &
A <> C &
A <> D &
A <> E &
A <> F &
A <> J &
A <> M &
A <> N &
B <> C &
B <> D &
B <> E &
B <> F &
B <> J &
B <> M &
B <> N &
C <> D &
C <> E &
C <> F &
C <> J &
C <> M &
C <> N &
D <> E &
D <> F &
D <> J &
D <> M &
D <> N &
E <> F &
E <> J &
E <> M &
E <> N &
F <> J &
F <> M &
F <> N &
J <> M &
J <> N &
M <> N &
h = ((((((((B .--> B9) +* (C .--> C9)) +* (D .--> D9)) +* (E .--> E9)) +* (F .--> F9)) +* (J .--> J9)) +* (M .--> M9)) +* (N .--> N9)) +* (A .--> A9) holds
(
h . A = A9 &
h . B = B9 &
h . C = C9 &
h . D = D9 &
h . E = E9 &
h . F = F9 &
h . J = J9 &
h . M = M9 &
h . N = N9 )