Definition df-hmph 21888

Description: Definition of the relation 𝑥 is homeomorphic to 𝑦. (Contributed by FL, 14-Feb-2007.)

Assertion

Ref	Expression
df-hmph	⊢ ≃ = (◡Homeo “ (V ∖ 1𝑜))

Detailed syntax breakdown of Definition df-hmph

Step	Hyp	Ref	Expression
1		chmph 21886	. 2 class ≃
2		chmeo 21885	. . . 4 class Homeo
3	2	ccnv 5311	. . 3 class ◡Homeo
4		cvv 3385	. . . 4 class V
5		c1o 7792	. . . 4 class 1𝑜
6	4, 5	cdif 3766	. . 3 class (V ∖ 1𝑜)
7	3, 6	cima 5315	. 2 class (◡Homeo “ (V ∖ 1𝑜))
8	1, 7	wceq 1653	1 wff ≃ = (◡Homeo “ (V ∖ 1𝑜))

This definition is referenced by:  hmph  21908  hmphtop  21910  hmpher  21916