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Theorem morimv 2331
 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 6 . . . . . . 7
21a1i 11 . . . . . 6
32imim1d 72 . . . . 5
43alimdv 1632 . . . 4
54eximdv 1633 . . 3
6 nfv 1630 . . . 4
76mo2 2312 . . 3
8 nfv 1630 . . . 4
98mo2 2312 . . 3
105, 7, 93imtr4g 263 . 2
1110com12 30 1
 Colors of variables: wff set class Syntax hints:   wi 4  wal 1550  wex 1551  wmo 2284 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-7 1750  ax-11 1762  ax-12 1951 This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-eu 2287  df-mo 2288
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