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Mirrors > Home > NFE Home > Th. List > ceqsexg | Unicode version |
Description: A representation of explicit substitution of a class for a variable, inferred from an implicit substitution hypothesis. (Contributed by NM, 11-Oct-2004.) |
Ref | Expression |
---|---|
ceqsexg.1 | |
ceqsexg.2 |
Ref | Expression |
---|---|
ceqsexg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2489 | . 2 | |
2 | nfe1 1732 | . . 3 | |
3 | ceqsexg.1 | . . 3 | |
4 | 2, 3 | nfbi 1834 | . 2 |
5 | ceqex 2969 | . . 3 | |
6 | ceqsexg.2 | . . 3 | |
7 | 5, 6 | bibi12d 312 | . 2 |
8 | biid 227 | . 2 | |
9 | 1, 4, 7, 8 | vtoclgf 2913 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wa 358 wex 1541 wnf 1544 wceq 1642 wcel 1710 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-clab 2340 df-cleq 2346 df-clel 2349 df-nfc 2478 df-v 2861 |
This theorem is referenced by: ceqsexgv 2971 |
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