Description: Cross-multiply in an equality of ratios. (Contributed by Mario Carneiro, 27-May-2016)
Ref | Expression | ||
---|---|---|---|
Hypotheses | div1d.1 | |
|
divcld.2 | |
||
divmuld.3 | |
||
divmuldivd.4 | |
||
divmuldivd.5 | |
||
divmuldivd.6 | |
||
Assertion | divmuleqd | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | div1d.1 | |
|
2 | divcld.2 | |
|
3 | divmuld.3 | |
|
4 | divmuldivd.4 | |
|
5 | divmuldivd.5 | |
|
6 | divmuldivd.6 | |
|
7 | 2 5 | jca | |
8 | 4 6 | jca | |
9 | divmuleq | |
|
10 | 1 3 7 8 9 | syl22anc | |