Description: The surreals are closed under multiplication. Theorem 8(i) of Conway p. 19. (Contributed by Scott Fenton, 5-Mar-2025)
Ref | Expression | ||
---|---|---|---|
Assertion | mulscl |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 0sno | ||
2 | 1 1 | pm3.2i | |
3 | mulsprop | ||
4 | 2 2 3 | mp3an23 | |
5 | 4 | simpld |