Description: A consequence of relative atomicity. Extensionality principle: two lattice elements are equal iff they majorize the same atoms. (Contributed by NM, 30-Jun-2004) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | chrelat3.1 | |
|
chrelat3.2 | |
||
Assertion | chrelat4i | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | chrelat3.1 | |
|
2 | chrelat3.2 | |
|
3 | 1 2 | chrelat3i | |
4 | 2 1 | chrelat3i | |
5 | 3 4 | anbi12i | |
6 | eqss | |
|
7 | ralbiim | |
|
8 | 5 6 7 | 3bitr4i | |