let L be non empty RelStr ; :: thesis: for x being Element of [:L,L:] holds (inf_op L) . x = (x `1) "/\" (x `2)
let x be Element of [:L,L:]; :: thesis: (inf_op L) . x = (x `1) "/\" (x `2)
the carrier of [:L,L:] = [: the carrier of L, the carrier of L:] by YELLOW_3:def 2;
then ex a, b being object st
( a in the carrier of L & b in the carrier of L & x = [a,b] ) by ZFMISC_1:def 2;
hence (inf_op L) . x = (inf_op L) . ((x `1),(x `2))
.= (x `1) "/\" (x `2) by Def4 ;
:: thesis: verum