:: UNIALG_3 semantic presentation
:: deftheorem Def1 defines SubAlgebra-Family UNIALG_3:def 1 :
:: deftheorem Def2 defines carr UNIALG_3:def 2 :
:: deftheorem Def3 defines Carr UNIALG_3:def 3 :
theorem Th1: :: UNIALG_3:1
theorem :: UNIALG_3:2
theorem Th3: :: UNIALG_3:3
theorem :: UNIALG_3:4
theorem :: UNIALG_3:5
theorem Th6: :: UNIALG_3:6
theorem :: UNIALG_3:7
:: deftheorem Def4 defines Carr UNIALG_3:def 4 :
theorem :: UNIALG_3:8
theorem Th9: :: UNIALG_3:9
theorem :: UNIALG_3:10
theorem Th11: :: UNIALG_3:11
theorem Th12: :: UNIALG_3:12
theorem :: UNIALG_3:13
theorem Th14: :: UNIALG_3:14
:: deftheorem Def5 defines meet UNIALG_3:def 5 :
Lm1:
for U0 being with_const_op Universal_Algebra
for l1, l2 being Element of (UnSubAlLattice U0)
for U1, U2 being strict SubAlgebra of U0 st l1 = U1 & l2 = U2 holds
l1 "\/" l2 = U1 "\/" U2
by UNIALG_2:def 16;
theorem :: UNIALG_3:15
canceled;
theorem :: UNIALG_3:16
canceled;
theorem Th17: :: UNIALG_3:17
theorem :: UNIALG_3:18
theorem Th19: :: UNIALG_3:19
theorem Th20: :: UNIALG_3:20
theorem :: UNIALG_3:21
theorem Th22: :: UNIALG_3:22
theorem Th23: :: UNIALG_3:23
theorem :: UNIALG_3:24
theorem :: UNIALG_3:25
:: deftheorem Def6 defines FuncLatt UNIALG_3:def 6 :
theorem :: UNIALG_3:26