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Theorem mosub 3014
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 3012 . 2
2 mosub.1 . . 3
32ax-gen 1546 . 2
4 moexexv 2274 . 2
51, 3, 4mp2an 653 1
Colors of variables: wff setvar class
Syntax hints:   wa 358  wal 1540  wex 1541   wceq 1642  wmo 2205
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 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  ax-ext 2334
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  df-clab 2340  df-cleq 2346  df-clel 2349  df-v 2861
This theorem is referenced by: (None)
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