Theorem cleljustALT 2110

Description: Alternate proof of cleljust 2109. (Contributed by NM, 28-Jan-2004.) (Revised by Mario Carneiro, 21-Dec-2016.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
cleljustALT

Distinct variable groups:   ,   ,

Proof of Theorem cleljustALT

Step	Hyp	Ref	Expression
1		nfv 1707	. . 3
2		elequ1 1821	. . 3
3	1, 2	equsex 2038	. 2
4	3	bicomi 202	1

Syntax hints:  <->wb 184  /\wa 369  E.wex 1612

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-5 1704  ax-6 1747  ax-7 1790  ax-8 1820  ax-10 1837  ax-12 1854  ax-13 1999

This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617