Description: Reciprocal is one-to-one. (Contributed by Mario Carneiro, 27-May-2016)
Ref | Expression | ||
---|---|---|---|
Hypotheses | div1d.1 | |
|
divcld.2 | |
||
divne0d.3 | |
||
divne0d.4 | |
||
rec11d.5 | |
||
Assertion | rec11d | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | div1d.1 | |
|
2 | divcld.2 | |
|
3 | divne0d.3 | |
|
4 | divne0d.4 | |
|
5 | rec11d.5 | |
|
6 | rec11 | |
|
7 | 1 3 2 4 6 | syl22anc | |
8 | 5 7 | mpbid | |