Description: Introducing subtraction on both sides of a statement of inequality. Contrapositive of subcan2d . (Contributed by David Moews, 28-Feb-2017)
Ref | Expression | ||
---|---|---|---|
Hypotheses | negidd.1 | |
|
pncand.2 | |
||
subaddd.3 | |
||
subneintr2d.4 | |
||
Assertion | subneintr2d | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | negidd.1 | |
|
2 | pncand.2 | |
|
3 | subaddd.3 | |
|
4 | subneintr2d.4 | |
|
5 | 1 2 3 | subcan2ad | |
6 | 5 | necon3bid | |
7 | 4 6 | mpbird | |