Theorem nfeu 2300

Description: Bound-variable hypothesis builder for uniqueness. Note that and needn't be distinct. (Contributed by NM, 8-Mar-1995.) (Revised by Mario Carneiro, 7-Oct-2016.)

Hypothesis

Ref	Expression
nfeu.1

Assertion

Ref	Expression
nfeu

Proof of Theorem nfeu

Step	Hyp	Ref	Expression
1		nftru 1626	. . 3
2		nfeu.1	. . . 4
3	2	a1i 11	. . 3
4	1, 3	nfeud 2298	. 2
5	4	trud 1404	1

Syntax hints:  wtru 1396  F/wnf 1616  E!weu 2282

This theorem is referenced by:  2eu7  2385  2eu8  2386  eusv2nf  4650  reusv2lem3  4655  bnj1489  34112

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-10 1837  ax-11 1842  ax-12 1854  ax-13 1999

This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-eu 2286