| Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > MPE Home > Th. List > ax-cnex | Structured version Visualization version GIF version | ||
| Description: The complex numbers form a set. This axiom is redundant - see cnexALT 11828- but we provide this axiom because the justification theorem axcnex 9968 does not use ax-rep 4771 even though the redundancy proof does. Proofs should normally use cnex 10017 instead. (New usage is discouraged.) (Contributed by NM, 1-Mar-1995.) |
| Ref | Expression |
|---|---|
| ax-cnex | ⊢ ℂ ∈ V |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cc 9934 | . 2 class ℂ | |
| 2 | cvv 3200 | . 2 class V | |
| 3 | 1, 2 | wcel 1990 | 1 wff ℂ ∈ V |
| Colors of variables: wff setvar class |
| This axiom is referenced by: cnex 10017 |
| Copyright terms: Public domain | W3C validator |