Description: The underlying set of the standard topology on the complex numbers is the set of complex numbers. (Contributed by Glauco Siliprandi, 11-Dec-2019)
Ref | Expression | ||
---|---|---|---|
Assertion | unicntop | ⊢ ℂ = ∪ ( TopOpen ‘ ℂfld ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqid | ⊢ ( TopOpen ‘ ℂfld ) = ( TopOpen ‘ ℂfld ) | |
2 | 1 | cnfldtopon | ⊢ ( TopOpen ‘ ℂfld ) ∈ ( TopOn ‘ ℂ ) |
3 | 2 | toponunii | ⊢ ℂ = ∪ ( TopOpen ‘ ℂfld ) |