Description: The order isomorphism of the well-order R on A is an isomorphism onto ran O (which is a subset of A by oif ). (Contributed by Mario Carneiro, 25-Jun-2015)
Ref | Expression | ||
---|---|---|---|
Hypothesis | oicl.1 | |
|
Assertion | oiiso2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | oicl.1 | |
|
2 | eqid | |
|
3 | eqid | |
|
4 | eqid | |
|
5 | 2 3 4 | ordtypecbv | |
6 | eqid | |
|
7 | simpl | |
|
8 | simpr | |
|
9 | 5 3 4 6 1 7 8 | ordtypelem8 | |