let K be Field; for n, i being Nat holds len (Base_FinSeq (K,n,i)) = n
let n, i be Nat; len (Base_FinSeq (K,n,i)) = n
len (Replace ((n |-> (0. K)),i,(1. K))) =
len (n |-> (0. K))
by FINSEQ_7:5
.=
n
by CARD_1:def 7
;
hence
len (Base_FinSeq (K,n,i)) = n
; verum