Definition df-grlic 47993

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.)

Assertion

Ref	Expression
df-grlic	⊢ ≃𝑙𝑔𝑟 = (◡ GraphLocIso “ (V ∖ 1o))

Detailed syntax breakdown of Definition df-grlic

Step	Hyp	Ref	Expression
1		cgrlic 47989	. 2 class ≃𝑙𝑔𝑟
2		cgrlim 47988	. . . 4 class GraphLocIso
3	2	ccnv 5653	. . 3 class ◡ GraphLocIso
4		cvv 3459	. . . 4 class V
5		c1o 8473	. . . 4 class 1o
6	4, 5	cdif 3923	. . 3 class (V ∖ 1o)
7	3, 6	cima 5657	. 2 class (◡ GraphLocIso “ (V ∖ 1o))
8	1, 7	wceq 1540	1 wff ≃𝑙𝑔𝑟 = (◡ GraphLocIso “ (V ∖ 1o))

This definition is referenced by:  brgrlic  48009  grlicrel  48011