Theorem dfid2 5027

Description: Alternate definition of the identity relation. (Contributed by NM, 15-Mar-2007.)

Assertion

Ref	Expression
dfid2	|- _I = { <. x , x >. | x = x }

Proof of Theorem dfid2

Step	Hyp	Ref	Expression
1		dfid3 5025	1 |- _I = { <. x , x >. | x = x }

Syntax hints:   = wceq 1483   {copab 4712   _I cid 5023

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1722  ax-4 1737  ax-5 1839  ax-6 1888  ax-7 1935  ax-9 1999  ax-10 2019  ax-11 2034  ax-12 2047  ax-13 2246  ax-ext 2602

This theorem depends on definitions:  df-bi 197  df-or 385  df-an 386  df-3an 1039  df-tru 1486  df-ex 1705  df-nf 1710  df-sb 1881  df-clab 2609  df-cleq 2615  df-clel 2618  df-nfc 2753  df-rab 2921  df-v 3202  df-dif 3577  df-un 3579  df-in 3581  df-ss 3588  df-nul 3916  df-if 4087  df-sn 4178  df-pr 4180  df-op 4184  df-opab 4713  df-id 5024

This theorem is referenced by:  fsplit  7282