This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.
Metamath Proof Explorer
Description: Two graphs are said to be locally isomorphic iff they are connected by at
least one local isomorphism. (Contributed by AV, 27-Apr-2025)
|
|
Ref |
Expression |
|
Assertion |
df-grlic |
⊢ ≃𝑙𝑔𝑟 = ( ◡ GraphLocIso “ ( V ∖ 1o ) ) |
Detailed syntax breakdown
| Step |
Hyp |
Ref |
Expression |
| 0 |
|
cgrlic |
⊢ ≃𝑙𝑔𝑟 |
| 1 |
|
cgrlim |
⊢ GraphLocIso |
| 2 |
1
|
ccnv |
⊢ ◡ GraphLocIso |
| 3 |
|
cvv |
⊢ V |
| 4 |
|
c1o |
⊢ 1o |
| 5 |
3 4
|
cdif |
⊢ ( V ∖ 1o ) |
| 6 |
2 5
|
cima |
⊢ ( ◡ GraphLocIso “ ( V ∖ 1o ) ) |
| 7 |
0 6
|
wceq |
⊢ ≃𝑙𝑔𝑟 = ( ◡ GraphLocIso “ ( V ∖ 1o ) ) |