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Mirrors > Home > ILE Home > Th. List > spcegf | Unicode version |
Description: Existential specialization, using implicit substitution. (Contributed by NM, 2-Feb-1997.) |
Ref | Expression |
---|---|
spcgf.1 | |
spcgf.2 | |
spcgf.3 |
Ref | Expression |
---|---|
spcegf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | spcgf.2 | . . 3 | |
2 | spcgf.1 | . . 3 | |
3 | 1, 2 | spcegft 2765 | . 2 |
4 | spcgf.3 | . 2 | |
5 | 3, 4 | mpg 1427 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1331 wnf 1436 wex 1468 wcel 1480 wnfc 2268 |
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: spcegv 2774 rspce 2784 euotd 4176 seq3f1olemstep 10274 |
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