MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  ax-cnex Structured version   Visualization version   GIF version

Axiom ax-cnex 10927
Description: The complex numbers form a set. This axiom is redundant - see cnexALT 12726- but we provide this axiom because the justification theorem axcnex 10903 does not use ax-rep 5209 even though the redundancy proof does. Proofs should normally use cnex 10952 instead. (New usage is discouraged.) (Contributed by NM, 1-Mar-1995.)
Assertion
Ref Expression
ax-cnex ℂ ∈ V

Detailed syntax breakdown of Axiom ax-cnex
StepHypRef Expression
1 cc 10869 . 2 class
2 cvv 3432 . 2 class V
31, 2wcel 2106 1 wff ℂ ∈ V
Colors of variables: wff setvar class
This axiom is referenced by:  cnex  10952
  Copyright terms: Public domain W3C validator