Theorem mo4f 2336

Description: "At most one" expressed using implicit substitution. (Contributed by NM, 10-Apr-2004.)

Hypotheses

Ref	Expression
mo4f.1
mo4f.2

Assertion

Ref	Expression
mo4f

Distinct variable groups:   ,   ,

Proof of Theorem mo4f

Step	Hyp	Ref	Expression
1		nfv 1707	. . 3
2	1	mo3 2323	. 2
3		mo4f.1	. . . . . 6
4		mo4f.2	. . . . . 6
5	3, 4	sbie 2149	. . . . 5
6	5	anbi2i 694	. . . 4
7	6	imbi1i 325	. . 3
8	7	2albii 1641	. 2
9	2, 8	bitri 249	1

Syntax hints:  ->wi 4  <->wb 184  /\wa 369  A.wal 1393  F/wnf 1616  [wsb 1739  E*wmo 2283

This theorem is referenced by:  mo4  2337  bm1.1  2440  mob2  3279  moop2  4747

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-or 370  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-eu 2286  df-mo 2287