Description: The field of real numbers. (Contributed by Thierry Arnoux, 30-Jun-2019)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-refld | ⊢ ℝfld = ( ℂfld ↾s ℝ ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | crefld | ⊢ ℝfld | |
| 1 | ccnfld | ⊢ ℂfld | |
| 2 | cress | ⊢ ↾s | |
| 3 | cr | ⊢ ℝ | |
| 4 | 1 3 2 | co | ⊢ ( ℂfld ↾s ℝ ) |
| 5 | 0 4 | wceq | ⊢ ℝfld = ( ℂfld ↾s ℝ ) |