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Mirrors > Home > MPE Home > Th. List > dfid2OLD | Structured version Visualization version GIF version |
Description: Obsolete version of dfid2 5491 as of 4-Nov-2024. (Contributed by NM, 15-Mar-2007.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
dfid2OLD | ⊢ I = {〈𝑥, 𝑥〉 ∣ 𝑥 = 𝑥} |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfid3 5492 | 1 ⊢ I = {〈𝑥, 𝑥〉 ∣ 𝑥 = 𝑥} |
Colors of variables: wff setvar class |
Syntax hints: = wceq 1539 {copab 5136 I cid 5488 |
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-10 2137 ax-11 2154 ax-12 2171 ax-13 2372 ax-ext 2709 |
This theorem depends on definitions: df-bi 206 df-an 397 df-or 845 df-3an 1088 df-tru 1542 df-fal 1552 df-ex 1783 df-nf 1787 df-sb 2068 df-clab 2716 df-cleq 2730 df-clel 2816 df-nfc 2889 df-rab 3073 df-v 3434 df-dif 3890 df-un 3892 df-nul 4257 df-if 4460 df-sn 4562 df-pr 4564 df-op 4568 df-opab 5137 df-id 5489 |
This theorem is referenced by: (None) |
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