Theorem 2oexOLD 8501

Description: Obsolete version of 2oex 8491 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 8481	. 2 ⊢ 2o = suc 1o
2		1oex 8490	. . 3 ⊢ 1o ∈ V
3	2	sucex 7803	. 2 ⊢ suc 1o ∈ V
4	1, 3	eqeltri 2824	1 ⊢ 2o ∈ V

Syntax hints:   ∈ wcel 2099  Vcvv 3469  suc csuc 6365  1_oc1o 8473  2_oc2o 8474

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1790  ax-4 1804  ax-5 1906  ax-6 1964  ax-7 2004  ax-8 2101  ax-9 2109  ax-ext 2698  ax-sep 5293  ax-nul 5300  ax-pr 5423  ax-un 7734

This theorem depends on definitions:  df-bi 206  df-an 396  df-or 847  df-tru 1537  df-fal 1547  df-ex 1775  df-sb 2061  df-clab 2705  df-cleq 2719  df-clel 2805  df-rab 3428  df-v 3471  df-dif 3947  df-un 3949  df-in 3951  df-ss 3961  df-nul 4319  df-sn 4625  df-pr 4627  df-uni 4904  df-suc 6369  df-1o 8480  df-2o 8481

This theorem is referenced by: (None)