let D be set ; for p, q being Element of D * holds FlattenSeq <*p,q*> = p ^ q
let p, q be Element of D * ; FlattenSeq <*p,q*> = p ^ q
consider g being BinOp of (D * ) such that
A1:
for d1, d2 being Element of D * holds g . d1,d2 = d1 ^ d2
and
A2:
FlattenSeq <*p,q*> = g "**" <*p,q*>
by Def14;
thus FlattenSeq <*p,q*> =
g . p,q
by A2, FINSOP_1:13
.=
p ^ q
by A1
; verum