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Description: Alternate proof of 0cn using ax-resscn , ax-addrcl , ax-rnegex , ax-cnre instead of ax-icn , ax-addcl , ax-mulcl , ax-i2m1 . Version of 0cnALT using ax-1cn instead of ax-icn . (Contributed by Steven Nguyen, 7-Jan-2022) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | 0cnALT3 | |- 0 e. CC |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | 0re | |- 0 e. RR |
|
| 2 | 1 | recni | |- 0 e. CC |