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Mirrors > Home > MPE Home > Th. List > nelss | Structured version Visualization version Unicode version |
Description: Demonstrate by witnesses that two classes lack a subclass relation. (Contributed by Stefan O'Rear, 5-Feb-2015.) |
Ref | Expression |
---|---|
nelss |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssel 3437 |
. . 3
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2 | 1 | com12 32 |
. 2
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3 | 2 | con3dimp 447 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1679 ax-4 1692 ax-5 1768 ax-6 1815 ax-7 1861 ax-10 1925 ax-11 1930 ax-12 1943 ax-13 2101 ax-ext 2441 |
This theorem depends on definitions: df-bi 190 df-an 377 df-tru 1457 df-ex 1674 df-nf 1678 df-sb 1808 df-clab 2448 df-cleq 2454 df-clel 2457 df-in 3422 df-ss 3429 |
This theorem is referenced by: frlmssuvc2 19401 fourierdlem10 38016 salgensscntex 38240 |
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