Theorem 2oexOLD 8198

Description: Obsolete version of 2oex 8197 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 8181	. 2 ⊢ 2o = suc 1o
2		1oex 8193	. . 3 ⊢ 1o ∈ V
3	2	sucex 7568	. 2 ⊢ suc 1o ∈ V
4	1, 3	eqeltri 2827	1 ⊢ 2o ∈ V

Syntax hints:   ∈ wcel 2112  Vcvv 3398  suc csuc 6193  1_oc1o 8173  2_oc2o 8174

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1803  ax-4 1817  ax-5 1918  ax-6 1976  ax-7 2018  ax-8 2114  ax-9 2122  ax-ext 2708  ax-sep 5177  ax-nul 5184  ax-pr 5307  ax-un 7501

This theorem depends on definitions:  df-bi 210  df-an 400  df-or 848  df-tru 1546  df-fal 1556  df-ex 1788  df-sb 2073  df-clab 2715  df-cleq 2728  df-clel 2809  df-rab 3060  df-v 3400  df-dif 3856  df-un 3858  df-in 3860  df-ss 3870  df-nul 4224  df-sn 4528  df-pr 4530  df-uni 4806  df-suc 6197  df-1o 8180  df-2o 8181

This theorem is referenced by: (None)