Theorem moani 2346

Description: "At most one" is still true when a conjunct is added. (Contributed by NM, 9-Mar-1995.)

Hypothesis

Ref	Expression
moani.1

Assertion

Ref	Expression
moani

Proof of Theorem moani

Step	Hyp	Ref	Expression
1		moani.1	. 2
2		moan 2345	. 2
3	1, 2	ax-mp 5	1

Syntax hints:  /\wa 369  E*wmo 2283

This theorem is referenced by:  euxfr2  3284  reuxfr2d  4675  fvopab6  5980  1stconst  6888  2ndconst  6889  iunmapdisj  8425  axaddf  9543  axmulf  9544  joinval  15635  meetval  15649  reuxfr3d  27388

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-12 1854

This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617  df-eu 2286  df-mo 2287