Definition df-hmph 21559

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 21557	. 2 class ~=
2		chmeo 21556	. . . 4 class Homeo
3	2	ccnv 5113	. . 3 class `' Homeo
4		cvv 3200	. . . 4 class _V
5		c1o 7553	. . . 4 class 1o
6	4, 5	cdif 3571	. . 3 class ( _V \ 1o )
7	3, 6	cima 5117	. 2 class ( `' Homeo " ( _V \ 1o ) )
8	1, 7	wceq 1483	1 wff ~= = ( `' Homeo " ( _V \ 1o ) )

This definition is referenced by:  hmph  21579  hmphtop  21581  hmpher  21587