| Intuitionistic Logic Explorer | 
      
      
      < Previous  
      Next >
      
       Nearby theorems  | 
  ||
| Mirrors > Home > ILE Home > Th. List > df-0nq0 | Unicode version | ||
| Description: Define nonnegative fraction constant 0. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. (Contributed by Jim Kingdon, 5-Nov-2019.) | 
| Ref | Expression | 
|---|---|
| df-0nq0 | 
 | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | c0q0 7355 | 
. 2
 | |
| 2 | c0 3450 | 
. . . 4
 | |
| 3 | c1o 6467 | 
. . . 4
 | |
| 4 | 2, 3 | cop 3625 | 
. . 3
 | 
| 5 | ceq0 7353 | 
. . 3
 | |
| 6 | 4, 5 | cec 6590 | 
. 2
 | 
| 7 | 1, 6 | wceq 1364 | 
1
 | 
| Colors of variables: wff set class | 
| This definition is referenced by: nq0m0r 7523 nq0a0 7524 prarloclem5 7567 | 
| Copyright terms: Public domain | W3C validator |