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Theorem 2cnALT 11792
Description: Alternate proof of 2cn 11791. Shorter but uses more axioms. Similar proofs are possible for 3cn 11797, ... , 9cn 11816. (Contributed by NM, 30-Jul-2004.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
2cnALT 2 ∈ ℂ

Proof of Theorem 2cnALT
StepHypRef Expression
1 2re 11790 . 2 2 ∈ ℝ
21recni 10733 1 2 ∈ ℂ
Colors of variables: wff setvar class
Syntax hints:  wcel 2114  cc 10613  2c2 11771
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1802  ax-4 1816  ax-5 1917  ax-6 1975  ax-7 2020  ax-8 2116  ax-9 2124  ax-ext 2710  ax-resscn 10672  ax-1cn 10673  ax-icn 10674  ax-addcl 10675  ax-addrcl 10676  ax-mulcl 10677  ax-mulrcl 10678  ax-i2m1 10683  ax-1ne0 10684  ax-rrecex 10687  ax-cnre 10688
This theorem depends on definitions:  df-bi 210  df-an 400  df-or 847  df-3an 1090  df-tru 1545  df-ex 1787  df-sb 2075  df-clab 2717  df-cleq 2730  df-clel 2811  df-ne 2935  df-ral 3058  df-rex 3059  df-v 3400  df-un 3848  df-in 3850  df-ss 3860  df-sn 4517  df-pr 4519  df-op 4523  df-uni 4797  df-br 5031  df-iota 6297  df-fv 6347  df-ov 7173  df-2 11779
This theorem is referenced by: (None)
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