Description: Less-than totally orders the surreals. Axiom O of Alling p. 184. (Contributed by Scott Fenton, 9-Jun-2011)
Ref | Expression | ||
---|---|---|---|
Assertion | sltso | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sltsolem1 | |
|
2 | df-no | |
|
3 | df-slt | |
|
4 | nosgnn0 | |
|
5 | 1 2 3 4 | soseq | |