Metamath Proof Explorer


Definition df-hmph

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

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

Detailed syntax breakdown

Step Hyp Ref Expression
0 chmph
1 chmeo Homeo
2 1 ccnv Homeo
3 cvv V
4 c1o 1o
5 3 4 cdif ( V ∖ 1o )
6 2 5 cima ( Homeo “ ( V ∖ 1o ) )
7 0 6 wceq ≃ = ( Homeo “ ( V ∖ 1o ) )