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Mirrors > Home > MPE Home > Th. List > dfid2OLD | Structured version Visualization version GIF version |
Description: Obsolete version of dfid2 5482 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 5483 | 1 ⊢ I = {〈𝑥, 𝑥〉 ∣ 𝑥 = 𝑥} |
Colors of variables: wff setvar class |
Syntax hints: = wceq 1539 {copab 5132 I cid 5479 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1799 ax-4 1813 ax-5 1914 ax-6 1972 ax-7 2012 ax-8 2110 ax-9 2118 ax-10 2139 ax-11 2156 ax-12 2173 ax-13 2372 ax-ext 2709 |
This theorem depends on definitions: df-bi 206 df-an 396 df-or 844 df-3an 1087 df-tru 1542 df-fal 1552 df-ex 1784 df-nf 1788 df-sb 2069 df-clab 2716 df-cleq 2730 df-clel 2817 df-nfc 2888 df-rab 3072 df-v 3424 df-dif 3886 df-un 3888 df-nul 4254 df-if 4457 df-sn 4559 df-pr 4561 df-op 4565 df-opab 5133 df-id 5480 |
This theorem is referenced by: (None) |
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