Theorem 2oexOLD 8543

Description: Obsolete version of 2oex 8533 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 8523	. 2 ⊢ 2o = suc 1o
2		1oex 8532	. . 3 ⊢ 1o ∈ V
3	2	sucex 7842	. 2 ⊢ suc 1o ∈ V
4	1, 3	eqeltri 2840	1 ⊢ 2o ∈ V

Syntax hints:   ∈ wcel 2108  Vcvv 3488  suc csuc 6397  1_oc1o 8515  2_oc2o 8516

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1793  ax-4 1807  ax-5 1909  ax-6 1967  ax-7 2007  ax-8 2110  ax-9 2118  ax-ext 2711  ax-sep 5317  ax-nul 5324  ax-pr 5447  ax-un 7770

This theorem depends on definitions:  df-bi 207  df-an 396  df-or 847  df-3an 1089  df-tru 1540  df-fal 1550  df-ex 1778  df-sb 2065  df-clab 2718  df-cleq 2732  df-clel 2819  df-rab 3444  df-v 3490  df-dif 3979  df-un 3981  df-in 3983  df-ss 3993  df-nul 4353  df-sn 4649  df-pr 4651  df-uni 4932  df-suc 6401  df-1o 8522  df-2o 8523

This theorem is referenced by: (None)