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Theorem mosub 3114
 Description: "At most one" remains true after substitution. (Contributed by NM, 9-Mar-1995.)
Hypothesis
Ref Expression
mosub.1
Assertion
Ref Expression
mosub
Distinct variable group:   ,,
Allowed substitution hints:   (,)

Proof of Theorem mosub
StepHypRef Expression
1 moeq 3112 . 2
2 mosub.1 . . 3
32ax-gen 1556 . 2
4 moexexv 2353 . 2
51, 3, 4mp2an 655 1
 Colors of variables: wff set class Syntax hints:   wa 360  wal 1550  wex 1551   wceq 1653  wmo 2284 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 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  ax-ext 2419 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  df-clab 2425  df-cleq 2431  df-clel 2434  df-v 2960
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