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Mirrors > Home > MPE Home > Th. List > disj2 | Structured version Visualization version Unicode version |
Description: Two ways of saying that two classes are disjoint. (Contributed by NM, 17-May-1998.) |
Ref | Expression |
---|---|
disj2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssv 3464 |
. 2
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2 | reldisj 3820 |
. 2
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3 | 1, 2 | ax-mp 5 |
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 1680 ax-4 1693 ax-5 1769 ax-6 1816 ax-7 1862 ax-10 1926 ax-11 1931 ax-12 1944 ax-13 2102 ax-ext 2442 |
This theorem depends on definitions: df-bi 190 df-an 377 df-tru 1458 df-ex 1675 df-nf 1679 df-sb 1809 df-clab 2449 df-cleq 2455 df-clel 2458 df-nfc 2592 df-ral 2754 df-v 3059 df-dif 3419 df-in 3423 df-ss 3430 df-nul 3744 |
This theorem is referenced by: ssindif0 3830 intirr 5240 setsres 15206 setscom 15208 f1omvdco3 17145 psgnunilem5 17190 opsrtoslem2 18763 clscon 20500 cldsubg 21180 uniinn0 28218 imadifxp 28265 |
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