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Mirrors > Home > MPE Home > Th. List > difsnpss | Structured version Unicode version |
Description: ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
difsnpss |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | notnot 291 |
. 2
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2 | difss 3578 |
. . . 4
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3 | 2 | biantrur 506 |
. . 3
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4 | difsnb 4110 |
. . . 4
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5 | 4 | necon3bbii 2707 |
. . 3
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6 | df-pss 3439 |
. . 3
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7 | 3, 5, 6 | 3bitr4i 277 |
. 2
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8 | 1, 7 | bitri 249 |
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 1592 ax-4 1603 ax-5 1671 ax-6 1710 ax-7 1730 ax-10 1777 ax-11 1782 ax-12 1794 ax-13 1952 ax-ext 2430 |
This theorem depends on definitions: df-bi 185 df-an 371 df-tru 1373 df-ex 1588 df-nf 1591 df-sb 1703 df-clab 2437 df-cleq 2443 df-clel 2446 df-nfc 2599 df-ne 2644 df-v 3067 df-dif 3426 df-in 3430 df-ss 3437 df-pss 3439 df-sn 3973 |
This theorem is referenced by: marypha1lem 7781 infpss 8484 ominf4 8579 mrieqv2d 14676 |
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