Mathbox for Alexander van der Vekens |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > nvelim | Structured version Visualization version Unicode version |
Description: If a class is the universal class it doesn't belong to any class, generalisation of nvel 4797. (Contributed by Alexander van der Vekens, 26-May-2017.) |
Ref | Expression |
---|---|
nvelim |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nvel 4797 | . 2 | |
2 | eleq1 2689 | . . 3 | |
3 | 2 | eqcoms 2630 | . 2 |
4 | 1, 3 | mtbii 316 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wb 196 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-8 1992 ax-9 1999 ax-12 2047 ax-13 2246 ax-ext 2602 ax-sep 4781 |
This theorem depends on definitions: df-bi 197 df-an 386 df-tru 1486 df-ex 1705 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-v 3202 |
This theorem is referenced by: afvvdm 41221 afvvfunressn 41223 afvvv 41225 afvvfveq 41228 |
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