Mathbox for Thierry Arnoux |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > mo5f | Structured version Visualization version Unicode version |
Description: Alternate definition of "at most one." (Contributed by Thierry Arnoux, 1-Mar-2017.) |
Ref | Expression |
---|---|
mo5f.1 | |
mo5f.2 |
Ref | Expression |
---|---|
mo5f |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mo5f.2 | . . 3 | |
2 | 1 | mo3 2507 | . 2 |
3 | mo5f.1 | . . . . . 6 | |
4 | 3 | nfsb 2440 | . . . . . 6 |
5 | 3, 4 | nfan 1828 | . . . . 5 |
6 | nfv 1843 | . . . . 5 | |
7 | 5, 6 | nfim 1825 | . . . 4 |
8 | 7 | nfal 2153 | . . 3 |
9 | 8 | sb8 2424 | . 2 |
10 | sbim 2395 | . . . . 5 | |
11 | sban 2399 | . . . . . . 7 | |
12 | nfs1v 2437 | . . . . . . . . . 10 | |
13 | 12 | sbf 2380 | . . . . . . . . 9 |
14 | 13 | bicomi 214 | . . . . . . . 8 |
15 | 14 | anbi2i 730 | . . . . . . 7 |
16 | 11, 15 | bitr4i 267 | . . . . . 6 |
17 | equsb3 2432 | . . . . . 6 | |
18 | 16, 17 | imbi12i 340 | . . . . 5 |
19 | 10, 18 | bitri 264 | . . . 4 |
20 | 19 | sbalv 2464 | . . 3 |
21 | 20 | albii 1747 | . 2 |
22 | 2, 9, 21 | 3bitri 286 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 wal 1481 wnf 1708 wsb 1880 wmo 2471 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-eu 2474 df-mo 2475 |
This theorem is referenced by: (None) |
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