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Mirrors > Home > ILE Home > Th. List > vtoclga | Unicode version |
Description: Implicit substitution of a class for a setvar variable. (Contributed by NM, 20-Aug-1995.) |
Ref | Expression |
---|---|
vtoclga.1 | |
vtoclga.2 |
Ref | Expression |
---|---|
vtoclga |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2281 | . 2 | |
2 | nfv 1508 | . 2 | |
3 | vtoclga.1 | . 2 | |
4 | vtoclga.2 | . 2 | |
5 | 1, 2, 3, 4 | vtoclgaf 2751 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1331 wcel 1480 |
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 2121 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-v 2688 |
This theorem is referenced by: vtoclri 2761 ssuni 3758 ordtriexmid 4437 onsucsssucexmid 4442 tfis3 4500 fvmpt3 5500 fvmptssdm 5505 fnressn 5606 fressnfv 5607 caovord 5942 caovimo 5964 tfrlem1 6205 nnacl 6376 nnmcl 6377 nnacom 6380 nnaass 6381 nndi 6382 nnmass 6383 nnmsucr 6384 nnmcom 6385 nnsucsssuc 6388 nntri3or 6389 nnaordi 6404 nnaword 6407 nnmordi 6412 nnaordex 6423 ixpfn 6598 findcard 6782 findcard2 6783 findcard2s 6784 exmidomni 7014 indpi 7157 prarloclem3 7312 uzind4s2 9393 cnref1o 9447 frec2uzrdg 10189 expcl2lemap 10312 seq3coll 10592 climub 11120 climserle 11121 fsum3cvg 11154 summodclem2a 11157 prodfap0 11321 prodfrecap 11322 fproddccvg 11348 alginv 11735 algcvg 11736 algcvga 11739 algfx 11740 prmind2 11808 |
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