let n be Nat; for D being non empty set
for p being Element of D
for f being FinSequence of D holds p in rng (Ins f,n,p)
let D be non empty set ; for p being Element of D
for f being FinSequence of D holds p in rng (Ins f,n,p)
let p be Element of D; for f being FinSequence of D holds p in rng (Ins f,n,p)
let f be FinSequence of D; p in rng (Ins f,n,p)
p in {p}
by TARSKI:def 1;
then
p in {p} \/ (rng f)
by XBOOLE_0:def 3;
hence
p in rng (Ins f,n,p)
by Th73; verum