let a, b, c be set ; for D being non empty set
for f being FinSequence of D st f = <*a,b,c*> holds
f | 2 = <*a,b*>
let D be non empty set ; for f being FinSequence of D st f = <*a,b,c*> holds
f | 2 = <*a,b*>
let f be FinSequence of D; ( f = <*a,b,c*> implies f | 2 = <*a,b*> )
assume A1:
f = <*a,b,c*>
; f | 2 = <*a,b*>
f | 2 =
f | (Seg 2)
by FINSEQ_1:def 16
.=
<*a,b*>
by A1, FINSEQ_6:5
;
hence
f | 2 = <*a,b*>
; verum