Description: The relation "is locally isomorphic to" for graphs. (Contributed by AV, 9-Jun-2025)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | brgrlic | |- ( R ~=lgr S <-> ( R GraphLocIso S ) =/= (/) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | df-grlic | |- ~=lgr = ( `' GraphLocIso " ( _V \ 1o ) ) |
|
| 2 | grlimfn | |- GraphLocIso Fn ( _V X. _V ) |
|
| 3 | 1 2 | brwitnlem | |- ( R ~=lgr S <-> ( R GraphLocIso S ) =/= (/) ) |