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Mirrors > Home > ILE Home > Th. List > rspc2va | Unicode version |
Description: 2-variable restricted specialization, using implicit substitution. (Contributed by NM, 18-Jun-2014.) |
Ref | Expression |
---|---|
rspc2v.1 | |
rspc2v.2 |
Ref | Expression |
---|---|
rspc2va |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rspc2v.1 | . . 3 | |
2 | rspc2v.2 | . . 3 | |
3 | 1, 2 | rspc2v 2847 | . 2 |
4 | 3 | imp 123 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wceq 1348 wcel 2141 wral 2448 |
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 704 ax-5 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-10 1498 ax-11 1499 ax-i12 1500 ax-bndl 1502 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 ax-ext 2152 |
This theorem depends on definitions: df-bi 116 df-tru 1351 df-nf 1454 df-sb 1756 df-clab 2157 df-cleq 2163 df-clel 2166 df-nfc 2301 df-ral 2453 df-v 2732 |
This theorem is referenced by: swopo 4291 ordtri2orexmid 4507 onsucelsucexmid 4514 ordsucunielexmid 4515 ordtri2or2exmid 4555 ontri2orexmidim 4556 isocnv 5790 isotr 5795 ovrspc2v 5879 off 6073 caofrss 6085 oprssdmm 6150 tridc 6877 fidcenumlemrks 6930 seq3caopr2 10438 seq3distr 10469 isprm6 12101 mhmpropd 12689 comet 13293 mulcncf 13385 trilpo 14075 neapmkv 14099 |
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