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Mirrors > Home > MPE Home > Th. List > dfid2OLD | Structured version Visualization version GIF version |
Description: Obsolete version of dfid2 5532 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 5533 | 1 ⊢ I = {〈𝑥, 𝑥〉 ∣ 𝑥 = 𝑥} |
Colors of variables: wff setvar class |
Syntax hints: = wceq 1542 {copab 5166 I cid 5529 |
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 1914 ax-6 1972 ax-7 2012 ax-8 2109 ax-9 2117 ax-10 2138 ax-11 2155 ax-12 2172 ax-13 2372 ax-ext 2709 |
This theorem depends on definitions: df-bi 206 df-an 398 df-or 847 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-nf 1787 df-sb 2069 df-clab 2716 df-cleq 2730 df-clel 2816 df-nfc 2888 df-rab 3407 df-v 3446 df-dif 3912 df-un 3914 df-in 3916 df-ss 3926 df-nul 4282 df-if 4486 df-sn 4586 df-pr 4588 df-op 4592 df-opab 5167 df-id 5530 |
This theorem is referenced by: (None) |
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