Description: Subtraction of a positive number decreases the sum. (Contributed by Scott Fenton, 15-Apr-2025)
Ref | Expression | ||
---|---|---|---|
Hypotheses | sltsubpos.1 | ||
sltsubpos.2 | |||
Assertion | sltsubposd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sltsubpos.1 | ||
2 | sltsubpos.2 | ||
3 | 0sno | ||
4 | 3 | a1i | |
5 | 4 1 2 | sltsub2d | |
6 | subsid1 | ||
7 | 2 6 | syl | |
8 | 7 | breq2d | |
9 | 5 8 | bitrd |