Theorem ereq2 7338

Description: Equality theorem for equivalence predicate. (Contributed by Mario Carneiro, 12-Aug-2015.)

Assertion

Ref	Expression
ereq2

Proof of Theorem ereq2

Step	Hyp	Ref	Expression
1		eqeq2 2472	. . 3
2	1	3anbi2d 1304	. 2
3		df-er 7330	. 2
4		df-er 7330	. 2
5	2, 3, 4	3bitr4g 288	1

Syntax hints:  ->wi 4  <->wb 184  /\w3a 973  =wceq 1395  u.cun 3473  C_wss 3475  `'ccnv 5003  domcdm 5004  o.ccom 5008  Relwrel 5009  Erwer 7327

This theorem is referenced by:  iserd  7356  efgval  16735  frgp0  16778  frgpmhm  16783

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-ext 2435

This theorem depends on definitions:  df-bi 185  df-an 371  df-3an 975  df-cleq 2449  df-er 7330