Theorem 2oexOLD 8317

Description: Obsolete version of 2oex 8308 as of 19-Sep-2024. (Contributed by BJ, 6-Apr-2019.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
2oexOLD	⊢ 2o ∈ V

Proof of Theorem 2oexOLD

Step	Hyp	Ref	Expression
1		df-2o 8298	. 2 ⊢ 2o = suc 1o
2		1oex 8307	. . 3 ⊢ 1o ∈ V
3	2	sucex 7656	. 2 ⊢ suc 1o ∈ V
4	1, 3	eqeltri 2835	1 ⊢ 2o ∈ V

Syntax hints:   ∈ wcel 2106  Vcvv 3432  suc csuc 6268  1_oc1o 8290  2_oc2o 8291

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1798  ax-4 1812  ax-5 1913  ax-6 1971  ax-7 2011  ax-8 2108  ax-9 2116  ax-ext 2709  ax-sep 5223  ax-nul 5230  ax-pr 5352  ax-un 7588

This theorem depends on definitions:  df-bi 206  df-an 397  df-or 845  df-tru 1542  df-fal 1552  df-ex 1783  df-sb 2068  df-clab 2716  df-cleq 2730  df-clel 2816  df-rab 3073  df-v 3434  df-dif 3890  df-un 3892  df-in 3894  df-ss 3904  df-nul 4257  df-sn 4562  df-pr 4564  df-uni 4840  df-suc 6272  df-1o 8297  df-2o 8298

This theorem is referenced by: (None)