let S be non empty non void ManySortedSign ; :: thesis: for A being non-empty MSAlgebra of S
for R being invariant stable ManySortedRelation of A holds TRS R = R
let A be non-empty MSAlgebra of S; :: thesis: for R being invariant stable ManySortedRelation of A holds TRS R = R
let R be invariant stable ManySortedRelation of A; :: thesis: TRS R = R
thus ( TRS R c= R & R c= TRS R ) by Def13; :: according to PBOOLE:def 10 :: thesis: verum