begin
theorem Th1:
theorem Th2:
theorem
theorem Th4:
:: deftheorem Def1 defines <= MSUHOM_1:def 1 :
theorem
theorem
theorem
theorem Th8:
:: deftheorem Def2 defines Over MSUHOM_1:def 2 :
theorem Th9:
theorem Th10:
:: deftheorem Def3 defines MSAlg MSUHOM_1:def 3 :
theorem Th11:
theorem Th12:
Lm1:
for U1 being Universal_Algebra holds dom (signature U1) = dom the charact of U1
theorem Th13:
Lm2:
for U1, U2 being Universal_Algebra st U1,U2 are_similar holds
for o being OperSymbol of holds Den o,((MSAlg U2) Over (MSSign U1)) is operation of U2
theorem Th14:
theorem Th15:
theorem Th16:
Lm3:
for U1 being Universal_Algebra
for n being Nat st n in dom the charact of U1 holds
n is OperSymbol of
theorem Th17:
theorem Th18:
theorem Th19:
theorem
theorem Th21:
theorem Th22:
theorem Th23:
theorem
theorem
theorem