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 Def1;
thus FlattenSeq <*p,q*> =
g . (p,q)
by A2, FINSOP_1:12
.=
p ^ q
by A1
; verum