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Mirrors > Home > ILE Home > Th. List > rmo4f | Unicode version |
Description: Restricted "at most one" using implicit substitution. (Contributed by NM, 24-Oct-2006.) (Revised by Thierry Arnoux, 11-Oct-2016.) (Revised by Thierry Arnoux, 8-Mar-2017.) (Revised by Thierry Arnoux, 8-Oct-2017.) |
Ref | Expression |
---|---|
rmo4f.1 | |
rmo4f.2 | |
rmo4f.3 | |
rmo4f.4 |
Ref | Expression |
---|---|
rmo4f |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rmo4f.1 | . . 3 | |
2 | rmo4f.2 | . . 3 | |
3 | nfv 1493 | . . 3 | |
4 | 1, 2, 3 | rmo3f 2854 | . 2 |
5 | rmo4f.3 | . . . . . 6 | |
6 | rmo4f.4 | . . . . . 6 | |
7 | 5, 6 | sbie 1749 | . . . . 5 |
8 | 7 | anbi2i 452 | . . . 4 |
9 | 8 | imbi1i 237 | . . 3 |
10 | 9 | 2ralbii 2420 | . 2 |
11 | 4, 10 | bitri 183 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wnf 1421 wsb 1720 wnfc 2245 wral 2393 wrmo 2396 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-nf 1422 df-sb 1721 df-eu 1980 df-mo 1981 df-cleq 2110 df-clel 2113 df-nfc 2247 df-ral 2398 df-rmo 2401 |
This theorem is referenced by: disjxp1 6101 |
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