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Description: Define ordering relation on positive fractions. This is a "temporary" set used in the construction of complex numbers df-c , and is intended to be used only by the construction. Similar to Definition 5 of Suppes p. 162. (Contributed by NM, 13-Feb-1996) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-ltnq | |- |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | cltq | |- |
|
| 1 | cltpq | |- |
|
| 2 | cnq | |- Q. |
|
| 3 | 2 2 | cxp | |- ( Q. X. Q. ) |
| 4 | 1 3 | cin | |- ( |
| 5 | 0 4 | wceq | |- |