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Mirrors > Home > ILE Home > Th. List > reu4 | Unicode version |
Description: Restricted uniqueness using implicit substitution. (Contributed by NM, 23-Nov-1994.) |
Ref | Expression |
---|---|
rmo4.1 |
Ref | Expression |
---|---|
reu4 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | reu5 2620 | . 2 | |
2 | rmo4.1 | . . . 4 | |
3 | 2 | rmo4 2850 | . . 3 |
4 | 3 | anbi2i 452 | . 2 |
5 | 1, 4 | bitri 183 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wral 2393 wrex 2394 wreu 2395 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-nf 1422 df-sb 1721 df-eu 1980 df-mo 1981 df-cleq 2110 df-clel 2113 df-ral 2398 df-rex 2399 df-reu 2400 df-rmo 2401 |
This theorem is referenced by: reuind 2862 receuap 8398 lbreu 8671 cju 8687 ndvdssub 11554 qredeu 11705 |
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