Description: The sum of two positive surreals is positive. (Contributed by Scott Fenton, 15-Apr-2025)
Ref | Expression | ||
---|---|---|---|
Hypotheses | addsgt0d.1 | ||
addsgt0d.2 | |||
addsgt0d.3 | |||
addsgt0d.4 | |||
Assertion | addsgt0d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | addsgt0d.1 | ||
2 | addsgt0d.2 | ||
3 | addsgt0d.3 | ||
4 | addsgt0d.4 | ||
5 | 0sno | ||
6 | addsrid | ||
7 | 5 6 | ax-mp | |
8 | 5 | a1i | |
9 | 8 8 1 2 3 4 | slt2addd | |
10 | 7 9 | eqbrtrrid |