Theorem nfmo1 2295

Description: Bound-variable hypothesis builder for "at most one." (Contributed by NM, 8-Mar-1995.) (Revised by Mario Carneiro, 7-Oct-2016.)

Assertion

Ref	Expression
nfmo1

Proof of Theorem nfmo1

Step	Hyp	Ref	Expression
1		df-mo 2287	. 2
2		nfe1 1840	. . 3
3		nfeu1 2294	. . 3
4	2, 3	nfim 1920	. 2
5	1, 4	nfxfr 1645	1

Syntax hints:  ->wi 4  E.wex 1612  F/wnf 1616  E!weu 2282  E*wmo 2283

This theorem is referenced by:  mo3  2323  moanmo  2353  mopick2  2362  moexex  2363  2mo  2373  2moOLD  2374  2eu3  2379  nfrmo1  3029  mob  3281  morex  3283  wl-mo3t  30021

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

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