let R be Relation; for A, B being Ordinal st R, RelIncl A are_isomorphic & R, RelIncl B are_isomorphic holds
A = B
let A, B be Ordinal; ( R, RelIncl A are_isomorphic & R, RelIncl B are_isomorphic implies A = B )
assume that
A1:
R, RelIncl A are_isomorphic
and
A2:
R, RelIncl B are_isomorphic
; A = B
RelIncl A,R are_isomorphic
by A1, WELLORD1:40;
hence
A = B
by A2, Th11, WELLORD1:42; verum