Description: Definition of the relation x is homeomorphic to y . (Contributed by FL, 14-Feb-2007)
Ref | Expression | ||
---|---|---|---|
Assertion | df-hmph | ⊢ ≃ = ( ◡ Homeo “ ( V ∖ 1o ) ) |
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 ) ) |