theorem
for
S,
S9 being non
empty non
void ManySortedSign for
A being
non-empty MSAlgebra over
S for
f being
Function of the
carrier of
S9, the
carrier of
S for
g being
Function st
f,
g form_morphism_between S9,
S holds
for
B being
non-empty MSAlgebra over
S9 st
B = A | (
S9,
f,
g) holds
for
s1,
s2 being
SortSymbol of
S9 st
TranslationRel S9 reduces s1,
s2 holds
for
t being
Translation of
B,
s1,
s2 holds
t is
Translation of
A,
f . s1,
f . s2 by Lm1;