let R be Ring; :: thesis: for n being Nat
for G being b₁,R -linear general Group holds the multF of G = the multF of (GL (n,R))
let n be Nat; :: thesis: for G being n,R -linear general Group holds the multF of G = the multF of (GL (n,R))
let G be n,R -linear general Group; :: thesis: the multF of G = the multF of (GL (n,R))
set UG = the carrier of G;
A1: the carrier of G = the carrier of (GL (n,R)) by Th174;
multMagma(# the carrier of G, the multF of G #) is Subgroup of GL (n,R) by Def13;
hence the multF of G = the multF of (GL (n,R)) || the carrier of G by GROUP_2:def 5
.= the multF of (GL (n,R)) by A1 ;
:: thesis: verum