Definition df-hmph 22990

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 22988	. 2 class ≃
2		chmeo 22987	. . . 4 class Homeo
3	2	ccnv 5607	. . 3 class ◡Homeo
4		cvv 3441	. . . 4 class V
5		c1o 8339	. . . 4 class 1o
6	4, 5	cdif 3894	. . 3 class (V ∖ 1o)
7	3, 6	cima 5611	. 2 class (◡Homeo “ (V ∖ 1o))
8	1, 7	wceq 1540	1 wff ≃ = (◡Homeo “ (V ∖ 1o))

This definition is referenced by:  hmph  23010  hmphtop  23012  hmpher  23018