let GF be non empty right_complementable associative well-unital distributive Abelian add-associative right_zeroed doubleLoopStr ; :: thesis: for M being non empty right_complementable VectSp-like Abelian add-associative right_zeroed VectSpStr of GF holds LattStr(# (Subspaces M),(SubJoin M),(SubMeet M) #) is 01_Lattice
let M be non empty right_complementable VectSp-like Abelian add-associative right_zeroed VectSpStr of GF; :: thesis: LattStr(# (Subspaces M),(SubJoin M),(SubMeet M) #) is 01_Lattice
LattStr(# (Subspaces M),(SubJoin M),(SubMeet M) #) is lower-bounded upper-bounded Lattice by Th76, Th77;
hence LattStr(# (Subspaces M),(SubJoin M),(SubMeet M) #) is 01_Lattice ; :: thesis: verum