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Theorem sb8mo 1911
Description: Variable substitution for "at most one." (Contributed by Alexander van der Vekens, 17-Jun-2017.)
Hypothesis
Ref Expression
sb8eu.1  F/
Assertion
Ref Expression
sb8mo

Proof of Theorem sb8mo
StepHypRef Expression
1 sb8eu.1 . . . 4  F/
21sb8e 1734 . . 3
31sb8eu 1910 . . 3
42, 3imbi12i 228 . 2
5 df-mo 1901 . 2
6 df-mo 1901 . 2
74, 5, 63bitr4i 201 1
Colors of variables: wff set class
Syntax hints:   wi 4   wb 98   F/wnf 1346  wex 1378  wsb 1642  weu 1897  wmo 1898
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 629  ax-5 1333  ax-7 1334  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-10 1393  ax-11 1394  ax-i12 1395  ax-bnd 1396  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424  ax-i5r 1425
This theorem depends on definitions:  df-bi 110  df-tru 1245  df-nf 1347  df-sb 1643  df-eu 1900  df-mo 1901
This theorem is referenced by: (None)
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