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

Definition df-hmph 23748
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
StepHypRef Expression
1 chmph 23746 . 2 class
2 chmeo 23745 . . . 4 class Homeo
32ccnv 5673 . . 3 class Homeo
4 cvv 3462 . . . 4 class V
5 c1o 8481 . . . 4 class 1o
64, 5cdif 3943 . . 3 class (V ∖ 1o)
73, 6cima 5677 . 2 class (Homeo “ (V ∖ 1o))
81, 7wceq 1534 1 wff ≃ = (Homeo “ (V ∖ 1o))
Colors of variables: wff setvar class
This definition is referenced by:  hmph  23768  hmphtop  23770  hmpher  23776
  Copyright terms: Public domain W3C validator