 reserve L for non empty LattStr;
 reserve v100,v102,v2,v1,v0,v3,v101 for Element of L;
 reserve L for WA_Lattice;
 reserve x,y,z,u for Element of L;
 reserve L for non empty LattStr;
 reserve v100,v101,v102,v0,v1,v2 for Element of L;
 reserve v101,v100,v2,v1,v0,v102,v103,v3 for Element of L;
 reserve v108,v107,v106,v101,v10,v9,v8,v7,v6,v105,v102,v100,
     v104,v103,v5,v4,v3,v2,v1,v0 for Element of L;

theorem Lemma2:
(for v2,v0,v5,v4,v3,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1
))))"/\"((
(v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"\/"v2)))=v1) implies
  for v0 holds v0"\/"v0 = v0
proof

assume A1: for v2,v0,v5,v4,v3,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1
))))"/\"(((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"\/"v2)))=v1;

assume not thesis; then
consider C being Element of L such that
A2:  not (C"\/"C)=C;

A5: for v102,v100,v104,v103,v1,v0 holds
 ((((v100"/\"((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1))))"\/"(((v0"/\"v1)"\/"(v1"/\"(v0
"\/"v1)))"/\"
(v100"\/"((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1))))))"/\"v102)"\/"(((v100"/\"(((((v0
"/\"v1)"\/"
(v1"/\"(v0"\/"v1)))"/\"v103)"\/"(v104"/\"((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))))
"\/"(
(v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))))"\/"(v1"/\"(v100"\/"(((((v0"/\"v1)"\/"(v1
"/\"
(v0"\/"v1)))"/\"v103)"\/"(v104"/\"((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))))"\/"((v0
"/\"v1)"\/"
(v1"/\"(v0"\/"v1)))))))"/\"(((v100"/\"((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1))))"\/"((
(v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"(v100"\/"((v0"/\"v1)"\/"(v1"/\"
(v0"\/"v1))))))"\/"v102)))=(v0"/\"v1)"\/"(v1"/\"(v0"\/"v1))
proof
 now let v100,v102,v103,v104,v0,v5,v4,v3,v1;
((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"(((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))
"\/"v103)"/\"
(v104"\/"((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))))"/\"((v0"/\"v1)"\/"(v1"/\"(v0"\/"
v1)))))"\/"((
(v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"\/"(((((v0"/\"v1)
"\/"(v1"/\"
(v0"\/"v1)))"\/"v103)"/\"(v104"\/"((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))))"/\"((v0
"/\"v1)"\/"
(v1"/\"(v0"\/"v1)))))))=v1 by A1;
hence
 ((((v100"/\"((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1))))"\/"(((v0"/\"v1)"\/"(v1"/\"(v0
"\/"v1)))"/\"
(v100"\/"((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1))))))"/\"v102)"\/"(((v100"/\"(((((v0
"/\"v1)"\/"
(v1"/\"(v0"\/"v1)))"/\"v103)"\/"(v104"/\"((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))))
"\/"(
(v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))))"\/"(v1"/\"(v100"\/"(((((v0"/\"v1)"\/"(v1
"/\"
(v0"\/"v1)))"/\"v103)"\/"(v104"/\"((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))))"\/"((v0
"/\"v1)"\/"
(v1"/\"(v0"\/"v1)))))))"/\"(((v100"/\"((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1))))"\/"((
(v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"(v100"\/"((v0"/\"v1)"\/"(v1"/\"
(v0"\/"v1))))))"\/"v102)))=((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1))) by A1;
end;
hence thesis;
end;

A9: for v103,v100,v105,v104,v0,v5,v4,v3,v1 holds
 ((((v100"/\"v1)"\/"(((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"((v0"/\"(((v1"/\"
v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1
)))))"\/"((
(v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"\/"((v0"/\"(((v1
"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1
)))))))"/\"
(v100"\/"((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1
)))))"\/"((
(v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"\/"((v0"/\"(((v1
"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))))))))"/\"v103)"\/"(((v100"/\"(((((((v0"/\"v1)"\/"(v1"/\"
(v0"\/"v1)))"/\"((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v3)"/\"
(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(
v0"\/"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))"\/"(((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"
(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v0
"/\"v1)"\/"
(v1"/\"(v0"\/"v1)))"\/"((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))))"/\"v104)"\/"(v105"/\"((((v0"/\"
v1)"\/"
(v1"/\"(v0"\/"v1)))"/\"((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1
))))"/\"((
(v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"\/"((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)
)"\/"(((v1"/\"(
((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))))))"\/"((((v0"/\"v1)"\/"(v1"/\"
(v0"\/"v1)))"/\"((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v3)"/\"
(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(
v0"\/"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))"\/"(((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"
(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v0
"/\"v1)"\/"
(v1"/\"(v0"\/"v1)))"\/"((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))))))"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1
))))"/\"
(v100"\/"(((((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1
)))))"\/"((
(v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"\/"((v0"/\"(((v1
"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))))"/\"v104)"\/"(v105"/\"((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1
)))"/\"(
(v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"v1)"\/"(v1"/\"(v0"\/"
v1)))"\/"(
(v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))))))"\/"((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"((v0"/\"(
(
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"v1)"\/"(v1"/\"(v0"\/"
v1)))"\/"(
(v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))))))))"/\"(((v100"/\"((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))
"/\"(
(v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"v1)"\/"(v1"/\"(v0"\/"
v1)))"\/"(
(v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))))))"\/"(((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"((v0"/\"(
(
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"v1)"\/"(v1"/\"(v0"\/"
v1)))"\/"(
(v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))))"/\"(v100"\/"((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"((
v0"/\"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"v1)"\/"(v1"/\"(v0"\/"
v1)))"\/"(
(v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))))))))"\/"v103)))=((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"
((v0"/\"(
((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"
v1))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"v1)"\/"(v1"/\"(v0"\/"
v1)))"\/"(
(v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))))
proof let v103,v100,v105,v104,v0,v5,v4,v3,v1;
((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"
v1))"\/"((
(v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"
(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))"\/"(((v0
"/\"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"\/"((v0"/\"(((v1
"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1
)))))))=v1
 by A1;
hence thesis by A5;
end;

A12: for v6,v0,v8,v7,v2,v5,v4,v3,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"((v2
"/\"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"
v1)))"\/"(
(v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))))))))"/\"v6)"\/"(((v0"/\"(((((((v2"/\"v1)"\/"(v1"/\"(v2
"\/"v1)))"/\"
((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"
(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(
v2"\/"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"
(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2
"/\"v1)"\/"
(v1"/\"(v2"\/"v1)))"\/"((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))))"/\"v7)"\/"(v8"/\"((((v2"/\"v1)
"\/"(v1"/\"
(v2"\/"v1)))"/\"((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v3)"/\"
(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(
v2"\/"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"
(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2
"/\"v1)"\/"
(v1"/\"(v2"\/"v1)))"\/"((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))))))"\/"((((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"/\"((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v3)"/\"
(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(
v2"\/"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"
(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2
"/\"v1)"\/"
(v1"/\"(v2"\/"v1)))"\/"((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))))))"\/"(((v2"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1
))))"/\"(v0"\/"
(((((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"
(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))"\/"(((v2
"/\"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"((v2"/\"(((v1
"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))))"/\"v7)"\/"(v8"/\"((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))
"/\"((v2"/\"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"
v1)))"\/"(
(v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))))))"\/"((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"((v2"/\"(
(
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"
v1)))"\/"(
(v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))))))))"/\"(((v0"/\"((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))
"/\"((v2"/\"(
((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"
v1))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"
v1)))"\/"(
(v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))))))"\/"(((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"((v2"/\"(
(
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"
v1)))"\/"(
(v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))))"/\"(v0"\/"((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"((v2
"/\"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"
v1)))"\/"(
(v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))))))))"\/"v6)))=((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"((
v2"/\"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"
v1)))"\/"(
(v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))))
proof let v6,v0,v8,v7,v2,v5,v4,v3,v1;
((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"
v1))"\/"((
(v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"
(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))"\/"(((v2
"/\"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"((v2"/\"(((v1
"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1
)))))))=v1 by A1;
hence thesis by A9;
end;

A14: for v6,v0,v8,v7,v2,v5,v4,v3,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v6)"\/"(((v0"/\"(((((((v2"/\"v1)"\/"(
v1"/\"
(v2"\/"v1)))"/\"((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v3)"/\"
(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(
v2"\/"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"
(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2
"/\"v1)"\/"
(v1"/\"(v2"\/"v1)))"\/"((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))))"/\"v7)"\/"(v8"/\"((((v2"/\"v1)
"\/"(v1"/\"
(v2"\/"v1)))"/\"((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v3)"/\"
(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(
v2"\/"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"
(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2
"/\"v1)"\/"
(v1"/\"(v2"\/"v1)))"\/"((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))))))"\/"((((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"/\"((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v3)"/\"
(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(
v2"\/"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"
(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2
"/\"v1)"\/"
(v1"/\"(v2"\/"v1)))"\/"((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))))))"\/"(((v2"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1
))))"/\"(v0"\/"
(((((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"
(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))"\/"(((v2
"/\"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"((v2"/\"(((v1
"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))))"/\"v7)"\/"(v8"/\"((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))
"/\"((v2"/\"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"
v1)))"\/"(
(v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))))))"\/"((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"((v2"/\"(
(
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"
v1)))"\/"(
(v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))))))))"/\"(((v0"/\"((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))
"/\"((v2"/\"(
((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"
v1))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"
v1)))"\/"(
(v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))))))"\/"(((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"((v2"/\"(
(
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"
v1)))"\/"(
(v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))))"/\"(v0"\/"((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"((v2
"/\"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"
v1)))"\/"(
(v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))))))))"\/"v6)))=((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"((
v2"/\"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))"\/"(((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))
"/\"v1))))"/\"
(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"
v1)))"\/"(
(v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"
v1))"/\"v1))"\/"
(v5"/\"(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1)))))))
proof let v6,v0,v8,v7,v2,v5,v4,v3,v1;
((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"((v2"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"
v1))"\/"((
(v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(v1"\/"(((v1"\/"v3)"/\"
(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))"\/"(((v2
"/\"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1
))"\/"(v5"/\"
(v1"\/"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"((v2"/\"(((v1
"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))"\/"(v5"/\"(
v1"\/"((
(v1"\/"v3)"/\"(v4"\/"v1))"/\"v1))))"/\"(v2"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1
)))))))=v1
 by A1;
hence thesis by A12;
end;

A17: for v2,v0,v7,v8,v3,v6,v5,v4,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v7)"\/"(v8
"/\"(((
(v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"/\"((v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1)
)"\/"(((v1"/\"(
((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))
"/\"v1))))"/\"
(v3"\/"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1)))))"\/"(((v3"/\"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(
v1"\/"((
(v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1
))))"/\"((
(v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"\/"((v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1)
)"\/"(((v1"/\"(
((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))
"/\"v1))))"/\"
(v3"\/"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1)))))))))"\/"((((v3"/\"v1)"\/"(v1"/\"
(v3"\/"v1)))"/\"((v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v4)"/\"
(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(
v3"\/"((
(v1"/\"v4)"\/"(v5"/\"v1))"\/"v1)))))"\/"(((v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)"/\"
(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))))"/\"(((v3
"/\"v1)"\/"
(v1"/\"(v3"\/"v1)))"\/"((v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))
"/\"v1))))"/\"
(v3"\/"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1)))))))))"\/"(((v3"/\"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(
v1"\/"((
(v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1
))))"/\"(v0"\/"
(((((((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"/\"((v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)"/\"
(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1)))))"\/"(((v3
"/\"((
(v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1
))"\/"(v6"/\"
(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1))))"/\"(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"\/"((v3"/\"(((v1
"/\"v4)"\/"
(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(
v1"\/"((
(v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1)))))))"/\"v7)"\/"(v8"/\"((((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))
"/\"((v3"/\"((
(v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1
))"\/"(v6"/\"
(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1)))))"\/"(((v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))
"/\"v1))))"/\"
(v3"\/"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))))"/\"(((v3"/\"v1)"\/"(v1"/\"(v3"\/"
v1)))"\/"(
(v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"
v1))"/\"v1))"\/"
(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1)))))))))"\/"((((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"/\"((v3"/\"(
(
(v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1
))"\/"(v6"/\"
(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1)))))"\/"(((v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))
"/\"v1))))"/\"
(v3"\/"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))))"/\"(((v3"/\"v1)"\/"(v1"/\"(v3"\/"
v1)))"\/"(
(v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"
v1))"/\"v1))"\/"
(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1)))))))))))"/\"(((v0"/\"((((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))
"/\"((v3"/\"(
((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"
v1))"\/"(v6"/\"
(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1)))))"\/"(((v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))
"/\"v1))))"/\"
(v3"\/"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))))"/\"(((v3"/\"v1)"\/"(v1"/\"(v3"\/"
v1)))"\/"(
(v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"
v1))"/\"v1))"\/"
(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1))))))))"\/"(((((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"/\"((v3"/\"(
(
(v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1
))"\/"(v6"/\"
(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1)))))"\/"(((v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))
"/\"v1))))"/\"
(v3"\/"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))))"/\"(((v3"/\"v1)"\/"(v1"/\"(v3"\/"
v1)))"\/"(
(v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"
v1))"/\"v1))"\/"
(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1)))))))"/\"(v0"\/"((((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"/\"((v3
"/\"((
(v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1
))"\/"(v6"/\"
(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1)))))"\/"(((v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))
"/\"v1))))"/\"
(v3"\/"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))))"/\"(((v3"/\"v1)"\/"(v1"/\"(v3"\/"
v1)))"\/"(
(v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"
v1))"/\"v1))"\/"
(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1))))))))))"\/"v2)))=((((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"/\"((
v3"/\"((
(v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1
))"\/"(v6"/\"
(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1)))))"\/"(((v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))
"/\"v1))))"/\"
(v3"\/"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))))"/\"(((v3"/\"v1)"\/"(v1"/\"(v3"\/"
v1)))"\/"(
(v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"
v1))"/\"v1))"\/"
(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1)))))))
proof let v2,v0,v7,v8,v3,v6,v5,v4,v1;
((((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"/\"((v3"/\"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"
v1))"\/"((
(v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)"/\"
(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1)))))"\/"(((v3
"/\"((
(v1"/\"v4)"\/"(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1
))"\/"(v6"/\"
(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"
(v5"/\"v1))"\/"v1))))"/\"(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"\/"((v3"/\"(((v1
"/\"v4)"\/"
(v5"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(
v1"\/"((
(v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(v3"\/"(((v1"/\"v4)"\/"(v5"/\"v1))"\/"v1
)))))))=v1 by A1;
hence thesis by A14;
end;

A20: for v2,v0,v3,v4,v5,v8,v7,v6,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"(v4
"/\"v1))"\/"(((
(v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)
)"\/"(((v1"/\"(
((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(
v1"\/"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1
))))"/\"((
(v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)
)"\/"(((v1"/\"(
((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))))))"\/"(((v5"/\"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(
v1"\/"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1
))))"/\"(v0"\/"
(((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5
"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1
"/\"v6)"\/"
(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(
v1"\/"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))))"/\"v3)"\/"(v4"/\"((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"((v5"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"
v1)))"\/"(
(v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"
v1))"/\"v1))"\/"
(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))))))"\/"((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(
(
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"
v1)))"\/"(
(v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"
v1))"/\"v1))"\/"
(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))))))))"/\"(((v0"/\"((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"((v5"/\"(
((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"
v1))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"
v1)))"\/"(
(v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"
v1))"/\"v1))"\/"
(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))))))))"\/"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(
(
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"
v1)))"\/"(
(v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"
v1))"/\"v1))"\/"
(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))))"/\"(v0"\/"((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5
"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"
v1)))"\/"(
(v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"
v1))"/\"v1))"\/"
(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))))))))))"\/"v2)))=((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((
v5"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"
v1)))"\/"(
(v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"
v1))"/\"v1))"\/"
(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))))
proof let v2,v0,v3,v4,v5,v8,v7,v6,v1;
((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"
v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5
"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1
"/\"v6)"\/"
(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(
v1"\/"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1
)))))))=v1 by A1;
hence thesis by A17;
end;

A22: for v2,v0,v4,v3,v5,v8,v7,v6,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(v0"\/"(((((((v5"/\"v1)"\/"(v1
"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))))"/\"v3)"\/"(v4"/\"((((v5"/\"v1)
"\/"(v1"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))))))"\/"((((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))))))))"/\"(((v0"/\"((((v5"/\"v1)
"\/"(v1"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))))))"\/"(((((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))))"/\"(v0"\/"((((v5"/\"v1)"\/"(v1
"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))))))))"\/"v2)))=((((v5"/\"v1)"\/"(
v1"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))))
proof let v2,v0,v4,v3,v5,v8,v7,v6,v1;
((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"
v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5
"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1
"/\"v6)"\/"
(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(
v1"\/"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1
)))))))=v1 by A1;
hence thesis by A20;
end;

A24: for v2,v0,v3,v4,v5,v8,v7,v6,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"(
((
(v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)
)"\/"(((v1"/\"(
((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(
v1"\/"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1
))))"/\"((
(v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)
)"\/"(((v1"/\"(
((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))))))"\/"((((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))))))))"/\"(((v0"/\"((((v5"/\"v1)
"\/"(v1"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))))))"\/"(((((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))))"/\"(v0"\/"((((v5"/\"v1)"\/"(v1
"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))))))))"\/"v2)))=((((v5"/\"v1)"\/"(
v1"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))))
proof let v2,v0,v3,v4,v5,v8,v7,v6,v1;
((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"
v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5
"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1
"/\"v6)"\/"
(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(
v1"\/"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1
)))))))=v1 by A1;
hence thesis by A22;
end;

A26: for v2,v0,v3,v4,v5,v8,v7,v6,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"
v1))"\/"(((
(v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)
)"\/"(((v1"/\"(
((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(
v1"\/"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1
))))"/\"((
(v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)
)"\/"(((v1"/\"(
((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))))))))"/\"(((v0"/\"((((v5"/\"v1)
"\/"(v1"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))))))"\/"(((((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))))"/\"(v0"\/"((((v5"/\"v1)"\/"(v1
"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))))))))"\/"v2)))=((((v5"/\"v1)"\/"(
v1"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))))
proof let v2,v0,v3,v4,v5,v8,v7,v6,v1;
((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"
v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5
"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1
"/\"v6)"\/"
(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(
v1"\/"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1
)))))))=v1 by A1;
hence thesis by A24;
end;

A28: for v2,v3,v4,v0,v5,v8,v7,v6,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5
"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"
v1)))"\/"(
(v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"
v1))"/\"v1))"\/"
(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))))))))"\/"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(
(
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"
v1)))"\/"(
(v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"
v1))"/\"v1))"\/"
(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))))"/\"(v0"\/"((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5
"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"
v1)))"\/"(
(v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"
v1))"/\"v1))"\/"
(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))))))))))"\/"v2)))=((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((
v5"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"
v1)))"\/"(
(v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"
v1))"/\"v1))"\/"
(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))))
proof let v2,v3,v4,v0,v5,v8,v7,v6,v1;
((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"
v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5
"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1
"/\"v6)"\/"
(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(
v1"\/"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1
)))))))=v1 by A1;
hence thesis by A26;
end;

A30: for v2,v3,v4,v0,v5,v8,v7,v6,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"v1)"\/"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"((v5"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"
v1)))"\/"(
(v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"
v1))"/\"v1))"\/"
(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))))"/\"(v0"\/"((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5
"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"
v1)))"\/"(
(v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"
v1))"/\"v1))"\/"
(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))))))))))"\/"v2)))=((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((
v5"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"
v1)))"\/"(
(v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"
v1))"/\"v1))"\/"
(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1)))))))
proof let v2,v3,v4,v0,v5,v8,v7,v6,v1;
((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"
v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5
"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1
"/\"v6)"\/"
(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(
v1"\/"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1
)))))))=v1 by A1;
hence thesis by A28;
end;

A32: for v2,v3,v4,v0,v5,v8,v7,v6,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"v1)"\/"(v1"/\"(v0"\/"((((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))))))))"\/"v2)))=((((v5"/\"v1)"\/"(
v1"/\"
(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v6)"/\"
(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(
v5"\/"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))))
proof let v2,v3,v4,v0,v5,v8,v7,v6,v1;
((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"
v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5
"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1
"/\"v6)"\/"
(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(
v1"\/"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1
)))))))=v1 by A1;
hence thesis by A30;
end;

A34: for v2,v3,v4,v0,v5,v8,v7,v6,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"\/"v2)))=((((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"
((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5"/\"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(
v1"\/"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1
))))"/\"((
(v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)
)"\/"(((v1"/\"(
((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))))
proof let v2,v3,v4,v0,v5,v8,v7,v6,v1;
((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"
v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5
"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1
"/\"v6)"\/"
(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(
v1"\/"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1
)))))))=v1 by A1;
hence thesis by A32;
end;

A36: for v2,v3,v4,v0,v5,v8,v7,v6,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))
"/\"v1))))"/\"
(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"\/"v2)))=v1
proof let v2,v3,v4,v0,v5,v8,v7,v6,v1;
((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"((v5"/\"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"
v1))"\/"((
(v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(v1"\/"(((v1"\/"v6)"/\"
(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1)))))"\/"(((v5
"/\"((
(v1"/\"v6)"\/"(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1
))"\/"(v8"/\"
(v1"\/"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"
(v7"/\"v1))"\/"v1))))"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"((v5"/\"(((v1
"/\"v6)"\/"
(v7"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))"\/"(v8"/\"(
v1"\/"((
(v1"\/"v6)"/\"(v7"\/"v1))"/\"v1))))"/\"(v5"\/"(((v1"/\"v6)"\/"(v7"/\"v1))"\/"v1
)))))))=v1 by A1;
hence thesis by A34;
end;

A39: for v102,v101,v105 holds
 ((((((v105"/\"v101)"\/"(v101"/\"(v105"\/"v101)))"/\"v101)"\/"(v101"/\"((
(v105"/\"v101)"\/"(v101"/\"(v105"\/"v101)))"\/"v101)))"/\"v102)"\/"(v101"/\"(((
(
(v105"/\"v101)"\/"(v101"/\"(v105"\/"v101)))"/\"v101)"\/"(v101"/\"(((v105"/\"
v101)"\/"
(v101"/\"(v105"\/"v101)))"\/"v101)))"\/"v102)))=v101
proof
 now let v102,v103,v104,v105,v108,v107,v106,v101;
((((v105"/\"v101)"\/"(v101"/\"(v105"\/"v101)))"/\"(((v101"/\"v103)"\/"
(v104"/\"v101))"\/"v101))"\/"(((v105"/\"(((v101"/\"v106)"\/"
(v107"/\"v101))"\/"v101))"\/"(((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))))"/\"(v105"\/"(((v101"/\"v106)"\/"
(v107"/\"v101))"\/"v101))))"/\"(((v105"/\"v101)"\/"(v101"/\"(v105"\/"v101)))
"\/"(((v101"/\"v103)"\/"(v104"/\"v101))"\/"v101))))=v101 by A1;
hence
 ((((((v105"/\"v101)"\/"(v101"/\"(v105"\/"v101)))"/\"v101)"\/"(v101"/\"((
(v105"/\"v101)"\/"(v101"/\"(v105"\/"v101)))"\/"v101)))"/\"v102)"\/"(v101"/\"(((
(
(v105"/\"v101)"\/"(v101"/\"(v105"\/"v101)))"/\"v101)"\/"(v101"/\"(((v105"/\"
v101)"\/"(v101"/\"(v105"\/"v101)))"\/"v101)))"\/"v102)))=v101 by A36;
end;
hence thesis;
end;

A43: for v103,v100,v105,v104,v102,v0 holds
 ((((v100"/\"v102)"\/"(((((((v0"/\"v102)"\/"(v102"/\"(v0"\/"v102)))"/\"v102)
"\/"
(v102"/\"(((v0"/\"v102)"\/"(v102"/\"(v0"\/"v102)))"\/"v102)))"/\"v102)"\/"(v102
"/\"((((
(v0"/\"v102)"\/"(v102"/\"(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"
(v102"/\"
(v0"\/"v102)))"\/"v102)))"\/"v102)))"/\"(v100"\/"((((((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"/\"v102)"\/"(v102"/\"(((((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"\/"v102))))))"/\"v103)"\/"(((v100"/\"((((((((
(v0"/\"v102)"\/"(v102"/\"(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"
(v102"/\"
(v0"\/"v102)))"\/"v102)))"/\"v102)"\/"(v102"/\"(((((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"\/"v102)))"/\"v104)"\/"(v105"/\"((((((v0"/\"v102)"\/"
(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"/\"v102)"\/"(v102"/\"(((((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"\/"v102)))))"\/"((((((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"/\"v102)"\/"(v102"/\"(((((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"\/"v102)))))"\/"(v102"/\"(v100"\/"(((((((((v0"/\"v102
)"\/"
(v102"/\"(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"/\"v102)"\/"(v102"/\"(((((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"\/"v102)))"/\"v104)"\/"(v105"/\"((((((v0"/\"v102)"\/"
(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"/\"v102)"\/"(v102"/\"(((((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"\/"v102)))))"\/"((((((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"/\"v102)"\/"(v102"/\"(((((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"\/"v102)))))))"/\"(((v100"/\"((((((v0"/\"v102)"\/"(
v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"/\"v102)"\/"(v102"/\"(((((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"\/"v102))))"\/"(((((((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"/\"v102)"\/"(v102"/\"(((((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"\/"v102)))"/\"(v100"\/"((((((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"/\"v102)"\/"(v102"/\"(((((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"\/"v102))))))"\/"v103)))=((((((v0"/\"v102)"\/"(v102
"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"/\"v102)"\/"(v102"/\"(((((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"\/"v102)))
proof let v103,v100,v105,v104,v102,v0;
((((((v0"/\"v102)"\/"(v102"/\"(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102
)"\/"
(v102"/\"(v0"\/"v102)))"\/"v102)))"/\"v102)"\/"(v102"/\"(((((v0"/\"v102)"\/"(
v102"/\"
(v0"\/"v102)))"/\"v102)"\/"(v102"/\"(((v0"/\"v102)"\/"(v102"/\"
(v0"\/"v102)))"\/"v102)))"\/"v102)))=v102 by A39;
hence thesis by A5;
end;

A46: for v3,v0,v5,v4,v1,v2 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"((((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)
"\/"(v1"/\"((
(v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v2"/\"v1)"\/"(
v1"/\"
(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"\/"v1)))"\/"v1))))))"/\"v3)"\/"(((v0"/\"(((((((((v2"/\"v1)"\/"(v1
"/\"
(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"\/"v1)))"\/"v1)))"/\"v4)"\/"(v5"/\"((((((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"\/"v1)))"\/"v1)))))"\/"((((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"
v1)"\/"(v1"/\"
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v2"/\"v1)
"\/"(v1"/\"
(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"\/"
v1)))))"\/"
(v1"/\"(v0"\/"(((((((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2
"/\"v1)"\/"
(v1"/\"(v2"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v2"/\"v1)"\/"(v1"/\"(v2"\/"
v1)))"/\"v1)"\/"
(v1"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"\/"v1)))"/\"v4)"\/"(v5"/\"(
((((
(v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"\/"v1)))))"\/"((((((v2"/\"v1)"\/"(
v1"/\"
(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"\/"v1)))"\/"v1)))))))"/\"(((v0"/\"((((((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"\/"v1)))"\/"v1))))"\/"(((((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"
v1)"\/"(v1"/\"
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v2"/\"v1)
"\/"(v1"/\"
(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"\/"
v1)))"/\"(v0"\/"
((((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"\/"v1))))))"\/"v3)))=((((((v2"/\"
v1)"\/"
(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)
))"/\"v1)"\/"
(v1"/\"(((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(
v1"/\"
(v2"\/"v1)))"\/"v1)))"\/"v1)))
proof let v3,v0,v5,v4,v1,v2;
((((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"\/"v1)))=v1 by A39;
hence thesis by A43;
end;

A48: for v3,v0,v5,v4,v1,v2 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v3)"\/"(((v0"/\"(((((((((v2"/\"v1)"\/"
(v1"/\"
(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"\/"v1)))"\/"v1)))"/\"v4)"\/"(v5"/\"((((((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"\/"v1)))"\/"v1)))))"\/"((((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"
v1)"\/"(v1"/\"
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v2"/\"v1)
"\/"(v1"/\"
(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"\/"
v1)))))"\/"
(v1"/\"(v0"\/"(((((((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2
"/\"v1)"\/"
(v1"/\"(v2"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v2"/\"v1)"\/"(v1"/\"(v2"\/"
v1)))"/\"v1)"\/"
(v1"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"\/"v1)))"/\"v4)"\/"(v5"/\"(
((((
(v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"\/"v1)))))"\/"((((((v2"/\"v1)"\/"(
v1"/\"
(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"\/"v1)))"\/"v1)))))))"/\"(((v0"/\"((((((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"\/"v1)))"\/"v1))))"\/"(((((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"
v1)"\/"(v1"/\"
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v2"/\"v1)
"\/"(v1"/\"
(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"\/"
v1)))"/\"(v0"\/"
((((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"\/"v1))))))"\/"v3)))=((((((v2"/\"
v1)"\/"
(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)
))"/\"v1)"\/"
(v1"/\"(((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(
v1"/\"
(v2"\/"v1)))"\/"v1)))"\/"v1)))
proof let v3,v0,v5,v4,v1,v2;
((((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"/\"v1)"\/"(v1"/\"(((v2"/\"v1)"\/"(v1"/\"
(v2"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v2"/\"v1)"\/"(v1"/\"(v2"\/"v1)))"\/"v1)))"\/"v1)))=v1 by A39;
hence thesis by A46;
end;

A51: for v2,v0,v4,v5,v1,v3 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v4)"\/"(v5
"/\"(((((
(v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"/\"v1)"\/"(v1"/\"(((v3"/\"v1)"\/"(v1"/\"
(v3"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"\/"v1)))"\/"v1)))))"\/"((((((v3"/\"v1)"\/"(
v1"/\"
(v3"\/"v1)))"/\"v1)"\/"(v1"/\"(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"/\"v1)"\/"(v1"/\"(((v3"/\"v1)"\/"(v1"/\"
(v3"\/"v1)))"\/"v1)))"\/"v1)))))"\/"(v1"/\"(v0"\/"(((((((((v3"/\"v1)"\/"(v1"/\"
(v3"\/"v1)))"/\"v1)"\/"(v1"/\"(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"/\"v1)"\/"(v1"/\"(((v3"/\"v1)"\/"(v1"/\"
(v3"\/"v1)))"\/"v1)))"\/"v1)))"/\"v4)"\/"(v5"/\"((((((v3"/\"v1)"\/"(v1"/\"
(v3"\/"v1)))"/\"v1)"\/"(v1"/\"(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"/\"v1)"\/"(v1"/\"(((v3"/\"v1)"\/"(v1"/\"
(v3"\/"v1)))"\/"v1)))"\/"v1)))))"\/"((((((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"/\"
v1)"\/"(v1"/\"
(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v3"/\"v1)
"\/"(v1"/\"
(v3"\/"v1)))"/\"v1)"\/"(v1"/\"(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"\/"v1)))"\/"
v1)))))))"/\"(
((v0"/\"((((((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"/\"v1)"\/"(v1"/\"(((v3"/\"v1)
"\/"(v1"/\"
(v3"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"\/"v1)))"\/"v1))))"\/"(((((((v3"/\"v1)"\/"(
v1"/\"
(v3"\/"v1)))"/\"v1)"\/"(v1"/\"(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"/\"v1)"\/"(v1"/\"(((v3"/\"v1)"\/"(v1"/\"
(v3"\/"v1)))"\/"v1)))"\/"v1)))"/\"(v0"\/"((((((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))
"/\"v1)"\/"
(v1"/\"(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v3
"/\"v1)"\/"(v1"/\"
(v3"\/"v1)))"/\"v1)"\/"(v1"/\"(((v3"/\"v1)"\/"(v1"/\"
(v3"\/"v1)))"\/"v1)))"\/"v1))))))"\/"v2)))=((((((v3"/\"v1)"\/"(v1"/\"
(v3"\/"v1)))"/\"v1)"\/"(v1"/\"(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"/\"v1)"\/"(v1"/\"(((v3"/\"v1)"\/"(v1"/\"
(v3"\/"v1)))"\/"v1)))"\/"v1)))
proof let v2,v0,v4,v5,v1,v3;
((((((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"/\"v1)"\/"(v1"/\"(((v3"/\"v1)"\/"(v1"/\"
(v3"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v3"/\"v1)"\/"(v1"/\"(v3"\/"v1)))"\/"v1)))"\/"v1)))=v1 by A39;
hence thesis by A48;
end;

A54: for v2,v0,v5,v4,v3,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"(v4
"/\"v1))"\/"((((
((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1)))))"\/"(v1"/\"(v0"\/"((((((
((
(v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1)))"/\"v3)"\/"(v4"/\"((((((v5
"/\"v1)"\/"
(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)
))"/\"v1)"\/"
(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(
v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1)))))"\/"((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"
v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)
"\/"(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"
v1)))))))"/\"(
((v0"/\"((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)
"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1))))"\/"(((((((v5"/\"v1)"\/"(
v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1)))"/\"(v0"\/"((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"
(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5
"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1))))))"\/"v2)))=((((((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1)))
proof let v2,v0,v5,v4,v3,v1;
((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1)))=v1 by A39;
hence thesis by A51;
end;

A56: for v2,v0,v4,v3,v1,v5 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(v1"/\"(v0"\/"(((((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"
(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5
"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"
v1)))"/\"v3)"\/"
(v4"/\"((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"
(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1)))))"\/"((((((v5"/\"v1)"\/"(
v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1)))))))"/\"(((v0"/\"((((((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1))))"\/"(((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"
v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)
"\/"(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"
v1)))"/\"(v0"\/"
((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1))))))"\/"v2)))=((((((v5"/\"
v1)"\/"
(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)
))"/\"v1)"\/"
(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(
v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1)))
proof let v2,v0,v4,v3,v1,v5;
((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1)))=v1 by A39;
hence thesis by A54;
end;

A58: for v2,v0,v3,v4,v1,v5 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(v1"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"((((((v5"/\"v1)"\/"
(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1)))))"\/"((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"
v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)
"\/"(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"
v1)))))))"/\"(
((v0"/\"((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)
"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1))))"\/"(((((((v5"/\"v1)"\/"(
v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1)))"/\"(v0"\/"((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"
(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5
"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1))))))"\/"v2)))=((((((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1)))
proof let v2,v0,v3,v4,v1,v5;
((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1)))=v1 by A39;
hence thesis by A56;
end;

A60: for v2,v0,v5,v4,v3,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(v1"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"((((((v5
"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1)))))))"/\"(((v0"/\"((((((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1))))"\/"(((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"
v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)
"\/"(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"
v1)))"/\"(v0"\/"
((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1))))))"\/"v2)))=((((((v5"/\"
v1)"\/"
(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)
))"/\"v1)"\/"
(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(
v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1)))
proof let v2,v0,v5,v4,v3,v1;
((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1)))=v1 by A39;
hence thesis by A58;
end;

A62: for v5,v2,v0,v4,v3,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(v1"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(
((v0"/\"(((((
(v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1))))"\/"(((((((v5"/\"v1)"\/"(
v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1)))"/\"(v0"\/"((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"
(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5
"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1))))))"\/"v2)))=((((((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1)))
proof let v5,v2,v0,v4,v3,v1;
((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1)))=v1 by A39;
hence thesis by A60;
end;

A64: for v5,v2,v0,v4,v3,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(v1"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(
((v0"/\"v1)"\/"
(((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1
"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1)))"/\"(v0"\/"((((((v5"/\"v1)
"\/"(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1))))))"\/"v2)))=((((((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"
v1)"\/"(v1"/\"((
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1)))
proof let v5,v2,v0,v4,v3,v1;
((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1)))=v1 by A39;
hence thesis by A62;
end;

A66: for v5,v2,v0,v4,v3,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(v1"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(
((v0"/\"v1)"\/"
(v1"/\"(v0"\/"((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"
v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1))))))"\/"v2)))=((((((v5"/\"
v1)"\/"
(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)
))"/\"v1)"\/"
(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(
v1"/\"
(v5"\/"v1)))"\/"v1)))"\/"v1)))
proof let v5,v2,v0,v4,v3,v1;
((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1)))=v1 by A39;
hence thesis by A64;
end;

A68: for v5,v2,v0,v4,v3,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(v1"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(
((v0"/\"v1)"\/"
(v1"/\"(v0"\/"v1)))"\/"v2)))=((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(
v1"/\"((
(v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(
v1"/\"
(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"
v1)))
proof let v5,v2,v0,v4,v3,v1;
((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1)))=v1 by A39;
hence thesis by A66;
end;

A70: for v2,v0,v4,v3,v1 holds
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(v1"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(
((v0"/\"v1)"\/"
(v1"/\"(v0"\/"v1)))"\/"v2)))=v1
proof
 now let v5,v2,v0,v4,v3,v1;
((((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"/\"v1)"\/"(v1"/\"(((v5"/\"v1)"\/"(v1"/\"
(v5"\/"v1)))"\/"v1)))"/\"v1)"\/"(v1"/\"(((((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))
"/\"v1)"\/"(v1"/\"
(((v5"/\"v1)"\/"(v1"/\"(v5"\/"v1)))"\/"v1)))"\/"v1)))=v1 by A39;
hence
 ((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"v2)"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(v1"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(
((v0"/\"v1)"\/"
(v1"/\"(v0"\/"v1)))"\/"v2)))=v1 by A68;
end;
hence thesis;
end;

A73: for v102,v103,v104,v100,v108,v107,v106,v101 holds
 ((((v100"/\"v101)"\/"(v101"/\"(v100"\/"v101)))"/\"v102)"\/"(((v100"/\"((
(v101"/\"v103)"\/"(v104"/\"v101))"\/"v101))"\/"(((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))))"/\"(v100"\/"(((v101"/\"v103)"\/"
(v104"/\"v101))"\/"v101))))"/\"(((v100"/\"v101)"\/"(v101"/\"
(v100"\/"v101)))"\/"v102)))=v101
proof
 now let v0,v102,v103,v104,v100,v108,v107,v106,v101;
((((((v0"/\"((v101"/\"(((v101"\/"v106)"/\"(v107"\/"v101))"/\"v101))"\/"(v108
"/\"
(v101"\/"(((v101"\/"v106)"/\"(v107"\/"v101))"/\"v101)))))"\/"(((v101"/\"((
(v101"\/"v106)"/\"(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"
v106)"/\"
(v107"\/"v101))"/\"v101))))"/\"(v0"\/"((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101)))))))"/\"((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101)))))"\/"(((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))))"/\"(((v0"/\"((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101)))))"\/"(((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))))"/\"(v0"\/"((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101)))))))"\/"((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101)))))))"/\"(((v101"/\"v106)"\/"(v107"/\"v101))"\/"v101))
"\/"((
(v101"/\"(((v101"\/"v106)"/\"(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"((
(v101"\/"v106)"/\"(v107"\/"v101))"/\"v101))))"/\"(((((v0"/\"((v101"/\"((
(v101"\/"v106)"/\"(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"
v106)"/\"
(v107"\/"v101))"/\"v101)))))"\/"(((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))))"/\"(v0"\/"((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101)))))))"/\"((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101)))))"\/"(((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))))"/\"(((v0"/\"((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101)))))"\/"(((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))))"/\"(v0"\/"((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101)))))))"\/"((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101)))))))"\/"(((v101"/\"v106)"\/"(v107"/\"v101))"\/"v101))
))=(
(v101"/\"(((v101"\/"v106)"/\"(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"((
(v101"\/"v106)"/\"(v107"\/"v101))"/\"v101)))) by A39;
hence
 ((((v100"/\"v101)"\/"(v101"/\"(v100"\/"v101)))"/\"v102)"\/"(((v100"/\"((
(v101"/\"v103)"\/"(v104"/\"v101))"\/"v101))"\/"(((v101"/\"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))"\/"(v108"/\"(v101"\/"(((v101"\/"v106)"/\"
(v107"\/"v101))"/\"v101))))"/\"(v100"\/"(((v101"/\"v103)"\/"
(v104"/\"v101))"\/"v101))))"/\"(((v100"/\"v101)"\/"(v101"/\"
(v100"\/"v101)))"\/"v102)))=v101 by A36;
end;
hence thesis;
end;

A77: for v102,v101,v0 holds
 ((v101"/\"v102)"\/"(v101"/\"(((((((v0"/\"v101)"\/"(v101"/\"(v0"\/"v101)))"/\"
v101)"\/"
(v101"/\"(((v0"/\"v101)"\/"(v101"/\"(v0"\/"v101)))"\/"v101)))"/\"v101)"\/"(v101
"/\"((((
(v0"/\"v101)"\/"(v101"/\"(v0"\/"v101)))"/\"v101)"\/"(v101"/\"(((v0"/\"v101)"\/"
(v101"/\"
(v0"\/"v101)))"\/"v101)))"\/"v101)))"\/"v102)))=v101
proof let v102,v101,v0;
((((((v0"/\"v101)"\/"(v101"/\"(v0"\/"v101)))"/\"v101)"\/"(v101"/\"(((v0"/\"v101
)"\/"
(v101"/\"(v0"\/"v101)))"\/"v101)))"/\"v101)"\/"(v101"/\"(((((v0"/\"v101)"\/"(
v101"/\"
(v0"\/"v101)))"/\"v101)"\/"(v101"/\"(((v0"/\"v101)"\/"(v101"/\"
(v0"\/"v101)))"\/"v101)))"\/"v101)))=v101 by A39;
hence thesis by A39;
end;

A80: for v1,v0 holds (v0"/\"v1)"\/"(v0"/\"(v0"\/"v1))=v0
proof
 now let v1,v0,v2;
((((((v2"/\"v0)"\/"(v0"/\"(v2"\/"v0)))"/\"v0)"\/"(v0"/\"(((v2"/\"v0)"\/"(v0"/\"
(v2"\/"v0)))"\/"v0)))"/\"v0)"\/"(v0"/\"(((((v2"/\"v0)"\/"(v0"/\"(v2"\/"v0)))
"/\"v0)"\/"(v0"/\"
(((v2"/\"v0)"\/"(v0"/\"(v2"\/"v0)))"\/"v0)))"\/"v0)))=v0 by A39;
hence ((v0"/\"v1)"\/"(v0"/\"(v0"\/"v1)))=v0 by A77;
end;
hence thesis;
end;

A83: for v103,v102,v101 holds
 ((((v102"/\"((v101"/\"v102)"\/"(v102"/\"(v101"\/"v102))))"\/"(((v101"/\"v102)
"\/"
(v102"/\"(v101"\/"v102)))"/\"(v102"\/"((v101"/\"v102)"\/"(v102"/\"
(v101"\/"v102))))))"/\"v103)"\/"(v102"/\"(((v102"/\"((v101"/\"v102)"\/"(v102
"/\"
(v101"\/"v102))))"\/"(((v101"/\"v102)"\/"(v102"/\"(v101"\/"v102)))"/\"(v102"\/"
(
(v101"/\"v102)"\/"(v102"/\"(v101"\/"v102))))))"\/"v103)))=((v101"/\"v102)"\/"(
v102"/\"(v101"\/"v102)))
proof
 now let v103,v105,v104,v102,v101;
((v102"/\"(((((v101"/\"v102)"\/"(v102"/\"(v101"\/"v102)))"/\"v104)"\/"(v105"/\"
(
(v101"/\"v102)"\/"(v102"/\"(v101"\/"v102)))))"\/"((v101"/\"v102)"\/"(v102"/\"
(v101"\/"v102)))))"\/"(v102"/\"(v102"\/"(((((v101"/\"v102)"\/"(v102"/\"
(v101"\/"v102)))"/\"v104)"\/"(v105"/\"((v101"/\"v102)"\/"(v102"/\"(v101"\/"v102
)))))"\/"
((v101"/\"v102)"\/"(v102"/\"(v101"\/"v102)))))))=v102 by A80;
hence
 ((((v102"/\"((v101"/\"v102)"\/"(v102"/\"(v101"\/"v102))))"\/"(((v101"/\"v102)
"\/"
(v102"/\"(v101"\/"v102)))"/\"(v102"\/"((v101"/\"v102)"\/"(v102"/\"
(v101"\/"v102))))))"/\"v103)"\/"(v102"/\"(((v102"/\"((v101"/\"v102)"\/"(v102
"/\"
(v101"\/"v102))))"\/"(((v101"/\"v102)"\/"(v102"/\"(v101"\/"v102)))"/\"(v102"\/"
(
(v101"/\"v102)"\/"(v102"/\"(v101"\/"v102))))))"\/"v103)))=((v101"/\"v102)"\/"(
v102"/\"(v101"\/"v102))) by A5;
end;
hence thesis;
end;

A87: for v102,v104,v103,v0,v4,v3,v1 holds
 ((v1"/\"v102)"\/"(((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"(((((v0"/\"(((v1"/\"
v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(v1"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"
v103)"\/"
(v104"/\"((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(v1"/\"(v0"\/"(((v1"/\"
v3)"\/"
(v4"/\"v1))"\/"v1))))))"\/"((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(v1
"/\"(v0"\/"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))))"\/"(((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))
"\/"v1))"\/"
(v1"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(((v0"/\"v1)"\/"(v1"/\"(
v0"\/"v1)))"\/"
(((((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(v1"/\"(v0"\/"(((v1"/\"v3)
"\/"
(v4"/\"v1))"\/"v1))))"/\"v103)"\/"(v104"/\"((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))
"\/"v1))"\/"
(v1"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))))"\/"((v0"/\"(((v1"/\"v3)
"\/"
(v4"/\"v1))"\/"v1))"\/"(v1"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))))))
"/\"((((
(v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)
)"\/"(v1"/\"
(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(v1"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(
((v0"/\"v1)"\/"
(v1"/\"(v0"\/"v1)))"\/"((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(v1"/\"(
v0"\/"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))))"\/"v102)))=((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(v1"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))
proof let v102,v104,v103,v0,v4,v3,v1;
((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"
v1))"\/"(v1"/\"
(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(v1"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"(
((v0"/\"v1)"\/"
(v1"/\"(v0"\/"v1)))"\/"((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(v1"/\"(
v0"\/"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))))))=v1 by A70;
hence thesis by A70;
end;

A90: for v1,v2,v4,v3,v0 holds
 ((v0"/\"v1)"\/"(v0"/\"(((((v2"/\"v0)"\/"(v0"/\"(v2"\/"v0)))"/\"((v2"/\"(((v0
"/\"v3)"\/"
(v4"/\"v0))"\/"v0))"\/"(v0"/\"(v2"\/"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0)))))"\/"
(((v2"/\"((
(v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))"\/"(v0"/\"(v2"\/"(((v0"/\"v3)"\/"(v4"/\"v0))
"\/"v0))))"/\"((
(v2"/\"v0)"\/"(v0"/\"(v2"\/"v0)))"\/"((v2"/\"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0)
)"\/"(v0"/\"
(v2"\/"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0)))))))"\/"v1)))=((v2"/\"(((v0"/\"v3)
"\/"
(v4"/\"v0))"\/"v0))"\/"(v0"/\"(v2"\/"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))))
proof
 now let v1,v6,v5,v2,v4,v3,v0;
((((v2"/\"v0)"\/"(v0"/\"(v2"\/"v0)))"/\"(((((v2"/\"(((v0"/\"v3)"\/"(v4"/\"v0))
"\/"v0))"\/"
(v0"/\"(v2"\/"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))))"/\"v5)"\/"(v6"/\"((v2"/\"((
(v0"/\"v3)"\/"
(v4"/\"v0))"\/"v0))"\/"(v0"/\"(v2"\/"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))))))
"\/"((v2"/\"((
(v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))"\/"(v0"/\"(v2"\/"(((v0"/\"v3)"\/"(v4"/\"v0))
"\/"v0))))))"\/"
(((v2"/\"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))"\/"(v0"/\"(v2"\/"(((v0"/\"v3)"\/"
(v4"/\"v0))"\/"v0))))"/\"(((v2"/\"v0)"\/"(v0"/\"(v2"\/"v0)))"\/"(((((v2"/\"(((
v0"/\"v3)"\/"
(v4"/\"v0))"\/"v0))"\/"(v0"/\"(v2"\/"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))))"/\"
v5)"\/"(v6"/\"(
(v2"/\"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))"\/"(v0"/\"(v2"\/"(((v0"/\"v3)"\/"
(v4"/\"v0))"\/"v0))))))"\/"((v2"/\"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))"\/"(v0
"/\"(v2"\/"((
(v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))))))))=v0 by A70;
hence
 ((v0"/\"v1)"\/"(v0"/\"(((((v2"/\"v0)"\/"(v0"/\"(v2"\/"v0)))"/\"((v2"/\"(((v0
"/\"v3)"\/"
(v4"/\"v0))"\/"v0))"\/"(v0"/\"(v2"\/"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0)))))"\/"
(((v2"/\"((
(v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))"\/"(v0"/\"(v2"\/"(((v0"/\"v3)"\/"(v4"/\"v0))
"\/"v0))))"/\"((
(v2"/\"v0)"\/"(v0"/\"(v2"\/"v0)))"\/"((v2"/\"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0)
)"\/"(v0"/\"
(v2"\/"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0)))))))"\/"v1)))=((v2"/\"(((v0"/\"v3)
"\/"
(v4"/\"v0))"\/"v0))"\/"(v0"/\"(v2"\/"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0)))) by
A87;
end;
hence thesis;
end;

A92: for v1,v2,v4,v3,v0 holds
 ((v0"/\"v1)"\/"(v0"/\"(v0"\/"v1)))=((v2"/\"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))
"\/"(v0"/\"(v2"\/"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))))
proof let v1,v2,v4,v3,v0;
((((v2"/\"v0)"\/"(v0"/\"(v2"\/"v0)))"/\"((v2"/\"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"
v0))"\/"(v0"/\"
(v2"\/"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0)))))"\/"(((v2"/\"(((v0"/\"v3)"\/"
(v4"/\"v0))"\/"v0))"\/"(v0"/\"(v2"\/"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))))"/\"(
((v2"/\"v0)"\/"
(v0"/\"(v2"\/"v0)))"\/"((v2"/\"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))"\/"(v0"/\"(
v2"\/"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0)))))))=v0 by A70;
hence thesis by A90;
end;

A94: for v2,v4,v3,v0 holds
 v0=((v2"/\"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))"\/"(v0"/\"(v2"\/"(((v0"/\"v3)
"\/"(v4"/\"v0))"\/"v0))))
proof
  now let v1,v2,v4,v3,v0;
    (v0"/\"v1)"\/"(v0"/\"(v0"\/"v1))=v0 by A80;
    hence
 v0=((v2"/\"(((v0"/\"v3)"\/"(v4"/\"v0))"\/"v0))"\/"(v0"/\"(v2"\/"(((v0"/\"v3)
"\/"(v4"/\"v0))"\/"v0)))) by A92;
end;
hence thesis;
end;

A100: for v3,v4,v0,v7,v6,v5,v1 holds
 v1=((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v5)"/\"
(v6"\/"v1))"/\"v1))"\/"(v7"/\"(v1"\/"(((v1"\/"v5)"/\"(v6"\/"v1))"/\"v1))))"/\"(
v0"\/"((
(v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))
proof
 now let v103,v102,v3,v4,v0,v7,v6,v5,v1;
((((v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"/\"(((((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))
"\/"v1))"\/"((
(v1"/\"(((v1"\/"v5)"/\"(v6"\/"v1))"/\"v1))"\/"(v7"/\"(v1"\/"(((v1"\/"v5)"/\"
(v6"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"v102)
"\/"(v103"/\"(
(v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v5)"/\"(v6"\/"
v1))"/\"v1))"\/"
(v7"/\"(v1"\/"(((v1"\/"v5)"/\"(v6"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))))"\/"((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v5)"/\"(v6"\/"v1))"/\"v1))"\/"(v7"/\"(v1"\/"(((v1"\/"v5)"/\"(v6"\/"v1))
"/\"v1))))"/\"
(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))))"\/"(((v0"/\"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v5)"/\"(v6"\/"v1))"/\"v1))"\/"(v7"/\"(
v1"\/"((
(v1"\/"v5)"/\"(v6"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1
))))"/\"((
(v0"/\"v1)"\/"(v1"/\"(v0"\/"v1)))"\/"(((((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"
v1))"\/"((
(v1"/\"(((v1"\/"v5)"/\"(v6"\/"v1))"/\"v1))"\/"(v7"/\"(v1"\/"(((v1"\/"v5)"/\"
(v6"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))"/\"v102)
"\/"(v103"/\"(
(v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v5)"/\"(v6"\/"
v1))"/\"v1))"\/"
(v7"/\"(v1"\/"(((v1"\/"v5)"/\"(v6"\/"v1))"/\"v1))))"/\"(v0"\/"(((v1"/\"v3)"\/"
(v4"/\"v1))"\/"v1))))))"\/"((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1
"/\"((
(v1"\/"v5)"/\"(v6"\/"v1))"/\"v1))"\/"(v7"/\"(v1"\/"(((v1"\/"v5)"/\"(v6"\/"v1))
"/\"v1))))"/\"
(v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))))))))=v1 by A73;
hence
 v1=((v0"/\"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1"\/"v5)"/\"
(v6"\/"v1))"/\"v1))"\/"(v7"/\"(v1"\/"(((v1"\/"v5)"/\"(v6"\/"v1))"/\"v1))))"/\"(
v0"\/"(((v1"/\"v3)"\/"(v4"/\"v1))"\/"v1)))) by A94;
end;
hence thesis;
end;

A106: for v6,v5,v4,v1 holds
 v1=((v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)
"/\"(v5"\/"v1))"/\"v1))))
proof
 now let v2,v3,v6,v5,v4,v1;
((((v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)"/\"
(v5"\/"v1))"/\"v1))))"/\"(((v1"/\"v2)"\/"(v3"/\"v1))"\/"v1))"\/"(((v1"/\"(((v1
"\/"v4)"/\"
(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))))"/\"(
((v1"/\"((
(v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)"/\"(v5"\/"v1))
"/\"v1))))"\/"((
(v1"/\"v2)"\/"(v3"/\"v1))"\/"v1))))=v1 by A100;
hence
 v1=((v1"/\"(((v1"\/"v4)"/\"(v5"\/"v1))"/\"v1))"\/"(v6"/\"(v1"\/"(((v1"\/"v4)
"/\"(v5"\/"v1))"/\"v1)))) by A80;
end;
hence thesis;
end;

A111: for v101,v1 holds (v1"/\"v101)"\/"(v101"/\"(v1"\/"v101))=v101
proof
 now let v1,v103,v102,v101;
((((v101"/\"((v1"/\"v101)"\/"(v101"/\"(v1"\/"v101))))"\/"(((v1"/\"v101)"\/"(
v101"/\"
(v1"\/"v101)))"/\"(v101"\/"((v1"/\"v101)"\/"(v101"/\"(v1"\/"v101))))))"/\"((
(v101"/\"v102)"\/"(v103"/\"v101))"\/"v101))"\/"(v101"/\"(((v101"/\"((v1"/\"v101
)"\/"
(v101"/\"(v1"\/"v101))))"\/"(((v1"/\"v101)"\/"(v101"/\"(v1"\/"v101)))"/\"(v101
"\/"(
(v1"/\"v101)"\/"(v101"/\"(v1"\/"v101))))))"\/"(((v101"/\"v102)"\/"
(v103"/\"v101))"\/"v101))))=((v1"/\"v101)"\/"(v101"/\"(v1"\/"v101))) by A83;
hence ((v1"/\"v101)"\/"(v101"/\"(v1"\/"v101)))=v101 by A94;
end;
hence thesis;
end;

A115: for v2,v1,v100 holds v100=((v100"\/"v1)"/\"(v2"\/"v100))"/\"v100
proof let v2,v1,v100;
((v100"/\"(((v100"\/"v1)"/\"(v2"\/"v100))"/\"v100))"\/"((((v100"\/"v1)"/\"
(v2"\/"v100))"/\"v100)"/\"(v100"\/"(((v100"\/"v1)"/\"(v2"\/"v100))"/\"v100))))=
v100 by A106;
hence thesis by A111;
end;

A119: for v3,v2,v1,v0 holds
 (v0"/\"v0)"\/"(v3"/\"(v0"\/"(((v0"\/"v1)"/\"(v2"\/"v0))"/\"v0)))=v0
proof let v3,v2,v1,v0;
  ((v0"\/"v1)"/\"(v2"\/"v0))"/\"v0=v0 by A115;
  hence thesis by A106;
end;

A122: for v0,v1 holds (v0"/\"v0)"\/"(v1"/\"(v0"\/"v0))=v0
proof
  now let v1,v3,v2,v0;
    ((v0"\/"v2)"/\"(v3"\/"v0))"/\"v0=v0 by A115;
    hence (v0"/\"v0)"\/"(v1"/\"(v0"\/"v0))=v0 by A119;
  end;
  hence thesis;
end;

A129: for v100 holds (v100"/\"v100)"\/"(v100"\/"v100)=v100
proof
 now let v2,v1,v100;
((((v100"\/"v100)"\/"v1)"/\"(v2"\/"(v100"\/"v100)))"/\"(v100"\/"v100))=(v100
"\/"v100) by A115;
hence (v100"/\"v100)"\/"(v100"\/"v100)=v100 by A122;
end;
hence thesis;
end;

A133: for v0 holds ((v0"/\"v0)"/\"(v0"\/"v0))"\/"((v0"/\"v0)"/\"v0)=v0"/\"v0
proof let v0;
  (v0"/\"v0)"\/"(v0"\/"v0)=v0 by A129;
  hence thesis by A80;
end;

A136: for v0 holds ((v0"/\"v0)"/\"(v0"\/"v0))"\/"((v0"\/"v0)"/\"v0)=v0"\/"v0
proof let v0;
  (v0"/\"v0)"\/"(v0"\/"v0)=v0 by A129;
  hence thesis by A111;
end;

A155: for v0 holds (v0"/\"(v0"\/"v0))"\/"((v0"\/"v0)"/\"v0)=v0"\/"v0
proof let v0;
  v0"/\"v0=v0 by A1,LemmaW1;
  hence thesis by A136;
end;

A157: for v0 holds (v0"/\"(v0"\/"v0))"\/"((v0"/\"v0)"/\"v0)=v0"/\"v0
proof let v0;
  v0"/\"v0=v0 by A1,LemmaW1;
  hence thesis by A133;
end;

A159: for v0 holds (v0"/\"(v0"\/"v0))"\/"(v0"/\"v0)=v0"/\"v0
proof let v0;
  v0"/\"v0=v0 by A1,LemmaW1;
  hence thesis by A157;
end;

A161: for v0 holds (v0"/\"(v0"\/"v0))"\/"v0=v0"/\"v0
proof let v0;
  v0"/\"v0=v0 by A1,LemmaW1;
  hence thesis by A159;
end;

A163: for v0 holds (v0"/\"(v0"\/"v0))"\/"v0=v0
proof let v0;
  v0"/\"v0=v0 by A1,LemmaW1;
  hence thesis by A161;
end;

A166: for v102 holds (v102"\/"v102)"/\"v102=v102
proof let v102;
  (v102"\/"v102)"/\"(v102"\/"v102)=v102"\/"v102 by A1,LemmaW1;
  hence thesis by A115;
end;

A169: for v0 holds (v0"/\"(v0"\/"v0))"\/"v0=v0"\/"v0
proof let v0;
  (v0"\/"v0)"/\"v0=v0 by A166;
  hence thesis by A155;
end;

for v0 holds v0=v0"\/"v0
proof let v0;
  (v0"/\"(v0"\/"v0))"\/"v0=v0 by A163;
  hence thesis by A169;
end;
hence thesis by A2;
end;
