Description: Left injection of a disjoint union. (Contributed by Mario Carneiro, 21-Jun-2022)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-inl | |- inl = ( x e. _V |-> <. (/) , x >. ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | cinl | |- inl |
|
| 1 | vx | |- x |
|
| 2 | cvv | |- _V |
|
| 3 | c0 | |- (/) |
|
| 4 | 1 | cv | |- x |
| 5 | 3 4 | cop | |- <. (/) , x >. |
| 6 | 1 2 5 | cmpt | |- ( x e. _V |-> <. (/) , x >. ) |
| 7 | 0 6 | wceq | |- inl = ( x e. _V |-> <. (/) , x >. ) |