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Theorem mo5f 28199
 Description: Alternate definition of "at most one." (Contributed by Thierry Arnoux, 1-Mar-2017.)
Hypotheses
Ref Expression
mo5f.1
mo5f.2
Assertion
Ref Expression
mo5f
Distinct variable group:   ,,
Allowed substitution hints:   (,,)

Proof of Theorem mo5f
StepHypRef Expression
1 mo5f.2 . . 3
21mo3 2356 . 2
3 mo5f.1 . . . . . 6
43nfsb 2289 . . . . . 6
53, 4nfan 2031 . . . . 5
6 nfv 1769 . . . . 5
75, 6nfim 2023 . . . 4
87nfal 2049 . . 3
98sb8 2273 . 2
10 sbim 2244 . . . . 5
11 sban 2248 . . . . . . 7
12 nfs1v 2286 . . . . . . . . . 10
1312sbf 2229 . . . . . . . . 9
1413bicomi 207 . . . . . . . 8
1514anbi2i 708 . . . . . . 7
1611, 15bitr4i 260 . . . . . 6
17 equsb3 2281 . . . . . 6
1816, 17imbi12i 333 . . . . 5
1910, 18bitri 257 . . . 4
2019sbalv 2313 . . 3
2120albii 1699 . 2
222, 9, 213bitri 279 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 189   wa 376  wal 1450  wnf 1675  wsb 1805  wmo 2320 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1677  ax-4 1690  ax-5 1766  ax-6 1813  ax-7 1859  ax-10 1932  ax-11 1937  ax-12 1950  ax-13 2104 This theorem depends on definitions:  df-bi 190  df-or 377  df-an 378  df-tru 1455  df-ex 1672  df-nf 1676  df-sb 1806  df-eu 2323  df-mo 2324 This theorem is referenced by: (None)
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