let i, j be Nat; for D being non empty set
for f being FinSequence of D st i in dom f & j in dom f holds
not mid (f,i,j) is empty
let D be non empty set ; for f being FinSequence of D st i in dom f & j in dom f holds
not mid (f,i,j) is empty
let f be FinSequence of D; ( i in dom f & j in dom f implies not mid (f,i,j) is empty )
assume that
A1:
i in dom f
and
A2:
j in dom f
; not mid (f,i,j) is empty
len (mid (f,i,j)) >= 1
by A1, A2, Lm8;
hence
not mid (f,i,j) is empty
; verum