let n, m, l, k be natural number ; {n,m,l,k} is finite Subset of NAT
reconsider Y = {l,k} as finite Subset of NAT by Th5;
reconsider X = {n,m} as finite Subset of NAT by Th5;
{n,m,l,k} = X \/ Y
by ENUMSET1:5;
hence
{n,m,l,k} is finite Subset of NAT
; verum