New Foundations Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  NFE Home  >  Th. List  >  morimv Unicode version

Theorem morimv 2252
 Description: Move antecedent outside of "at most one." (Contributed by NM, 28-Jul-1995.)
Assertion
Ref Expression
morimv
Distinct variable group:   ,
Allowed substitution hint:   ()

Proof of Theorem morimv
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 ax-1 5 . . . . . . 7
21a1i 10 . . . . . 6
32imim1d 69 . . . . 5
43alimdv 1621 . . . 4
54eximdv 1622 . . 3
6 nfv 1619 . . . 4
76mo2 2233 . . 3
8 nfv 1619 . . . 4
98mo2 2233 . . 3
105, 7, 93imtr4g 261 . 2
1110com12 27 1
 Colors of variables: wff setvar class Syntax hints:   wi 4  wal 1540  wex 1541   wceq 1642  wmo 2205 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925 This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-eu 2208  df-mo 2209 This theorem is referenced by: (None)
 Copyright terms: Public domain W3C validator