let D be set ; :: thesis: for p, q being Element of D ^omega holds FlattenSeq <%p,q%> = p ^ q
let p, q be Element of D ^omega ; :: thesis: FlattenSeq <%p,q%> = p ^ q
consider g being BinOp of (D ^omega ) such that
A1: for d1, d2 being Element of D ^omega 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, Th50
.= p ^ q by A1 ; :: thesis: verum