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 ) |