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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 2797 | . 2 |
4 | 3 | imp 123 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wceq 1331 wcel 1480 wral 2414 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-ral 2419 df-v 2683 |
This theorem is referenced by: swopo 4223 ordtri2orexmid 4433 onsucelsucexmid 4440 ordsucunielexmid 4441 ordtri2or2exmid 4481 isocnv 5705 isotr 5710 off 5987 caofrss 5999 oprssdmm 6062 tridc 6786 fidcenumlemrks 6834 seq3caopr2 10248 seq3distr 10279 isprm6 11814 comet 12657 mulcncf 12749 trilpo 13225 |
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