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Mirrors > Home > MPE Home > Th. List > 1oexOLD | Structured version Visualization version GIF version |
Description: Obsolete version of 1oex 8475 as of 19-Sep-2024. (Contributed by BJ, 6-Apr-2019.) (Proof shortened by AV, 1-Jul-2022.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
1oexOLD | ⊢ 1o ∈ V |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 1on 8477 | . 2 ⊢ 1o ∈ On | |
2 | 1 | elexi 3493 | 1 ⊢ 1o ∈ V |
Colors of variables: wff setvar class |
Syntax hints: ∈ wcel 2106 Vcvv 3474 Oncon0 6364 1oc1o 8458 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1797 ax-4 1811 ax-5 1913 ax-6 1971 ax-7 2011 ax-8 2108 ax-9 2116 ax-ext 2703 ax-sep 5299 ax-nul 5306 ax-pr 5427 |
This theorem depends on definitions: df-bi 206 df-an 397 df-or 846 df-3or 1088 df-3an 1089 df-tru 1544 df-fal 1554 df-ex 1782 df-sb 2068 df-clab 2710 df-cleq 2724 df-clel 2810 df-ne 2941 df-ral 3062 df-rex 3071 df-rab 3433 df-v 3476 df-dif 3951 df-un 3953 df-in 3955 df-ss 3965 df-pss 3967 df-nul 4323 df-if 4529 df-pw 4604 df-sn 4629 df-pr 4631 df-op 4635 df-uni 4909 df-br 5149 df-opab 5211 df-tr 5266 df-eprel 5580 df-po 5588 df-so 5589 df-fr 5631 df-we 5633 df-ord 6367 df-on 6368 df-suc 6370 df-1o 8465 |
This theorem is referenced by: (None) |
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