MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-hmph Unicode version

Definition df-hmph 17447
Description: Definition of the relation  x is homeomorph to  y. (Contributed by FL, 14-Feb-2007.)
Assertion
Ref Expression
df-hmph  |-  ~=  =  ( `'  Homeo  " ( _V  \  1o ) )

Detailed syntax breakdown of Definition df-hmph
StepHypRef Expression
1 chmph 17445 . 2  class  ~=
2 chmeo 17444 . . . 4  class  Homeo
32ccnv 4688 . . 3  class  `'  Homeo
4 cvv 2788 . . . 4  class  _V
5 c1o 6472 . . . 4  class  1o
64, 5cdif 3149 . . 3  class  ( _V 
\  1o )
73, 6cima 4692 . 2  class  ( `' 
Homeo  " ( _V  \  1o ) )
81, 7wceq 1623 1  wff  ~=  =  ( `'  Homeo  " ( _V  \  1o ) )
Colors of variables: wff set class
This definition is referenced by:  hmph  17467  hmphtop  17469  hmpher  17475
  Copyright terms: Public domain W3C validator