Theorem nfmod2 2297

Description: Bound-variable hypothesis builder for "at most one." (Contributed by Mario Carneiro, 14-Nov-2016.)

Hypotheses

Ref	Expression
nfmod2.1
nfmod2.2

Assertion

Ref	Expression
nfmod2

Proof of Theorem nfmod2

Step	Hyp	Ref	Expression
1		df-mo 2287	. 2
2		nfmod2.1	. . . 4
3		nfmod2.2	. . . 4
4	2, 3	nfexd2 2074	. . 3
5	2, 3	nfeud2 2296	. . 3
6	4, 5	nfimd 1917	. 2
7	1, 6	nfxfrd 1646	1

Syntax hints:  -.wn 3  ->wi 4  /\wa 369  A.wal 1393  E.wex 1612  F/wnf 1616  E!weu 2282  E*wmo 2283

This theorem is referenced by:  nfmod  2299  nfrmod  3031  nfrmo  3033  nfdisj  4434

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-ex 1613  df-nf 1617  df-eu 2286  df-mo 2287