begin
:: deftheorem defines lattice VECTSP_8:def 1 :
:: deftheorem Def2 defines SubVS-Family VECTSP_8:def 2 :
:: deftheorem Def3 defines carr VECTSP_8:def 3 :
:: deftheorem Def4 defines carr VECTSP_8:def 4 :
theorem Th1:
theorem
:: deftheorem Def5 defines meet VECTSP_8:def 5 :
theorem
theorem
theorem
theorem Th6:
theorem Th7:
theorem Th8:
:: deftheorem defines complete VECTSP_8:def 6 :
theorem
theorem Th10:
:: deftheorem Def7 defines FuncLatt VECTSP_8:def 7 :
:: deftheorem Def8 defines Semilattice-Homomorphism VECTSP_8:def 8 :
:: deftheorem Def9 defines sup-Semilattice-Homomorphism VECTSP_8:def 9 :
theorem
theorem Th12:
theorem
theorem
theorem