Description: Equality is a left-Euclidean binary relation. (Right-Euclideanness is stated in ax-7 .) Curried (exported) form of equtr2 . (Contributed by BJ, 11-Apr-2021)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | equeucl | |- ( x = z -> ( y = z -> x = y ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | equeuclr | |- ( y = z -> ( x = z -> x = y ) ) |
|
| 2 | 1 | com12 | |- ( x = z -> ( y = z -> x = y ) ) |