Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > ceqsexv | Unicode version |
Description: Elimination of an existential quantifier, using implicit substitution. (Contributed by NM, 2-Mar-1995.) |
Ref | Expression |
---|---|
ceqsexv.1 | |
ceqsexv.2 |
Ref | Expression |
---|---|
ceqsexv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1508 | . 2 | |
2 | ceqsexv.1 | . 2 | |
3 | ceqsexv.2 | . 2 | |
4 | 1, 2, 3 | ceqsex 2724 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wceq 1331 wex 1468 wcel 1480 cvv 2686 |
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-5 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-v 2688 |
This theorem is referenced by: ceqsex3v 2728 gencbvex 2732 sbhypf 2735 euxfr2dc 2869 inuni 4080 eqvinop 4165 onm 4323 uniuni 4372 opeliunxp 4594 elvvv 4602 rexiunxp 4681 imai 4895 coi1 5054 abrexco 5660 opabex3d 6019 opabex3 6020 mapsnen 6705 xpsnen 6715 xpcomco 6720 xpassen 6724 |
Copyright terms: Public domain | W3C validator |