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Mirrors > Home > MPE Home > Th. List > eqv | Structured version Visualization version Unicode version |
Description: The universe contains every set. (Contributed by NM, 11-Sep-2006.) |
Ref | Expression |
---|---|
eqv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2764 | . 2 | |
2 | 1 | eqvf 3204 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wb 196 wal 1481 wceq 1483 wcel 1990 cvv 3200 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-v 3202 |
This theorem is referenced by: abv 3206 dmi 5340 dfac10 8959 dfac10c 8960 dfac10b 8961 uniwun 9562 fnsingle 32026 bj-abv 32901 ttac 37603 nev 38062 |
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