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Mirrors > Home > MPE Home > Th. List > sbcn1 | Structured version Visualization version Unicode version |
Description: Move negation in and out of class substitution. One direction of sbcng 3308 that holds for proper classes. (Contributed by NM, 17-Aug-2018.) |
Ref | Expression |
---|---|
sbcn1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbcex 3277 |
. 2
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2 | sbcng 3308 |
. . 3
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3 | 2 | biimpd 211 |
. 2
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4 | 1, 3 | mpcom 37 |
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 1669 ax-4 1682 ax-5 1758 ax-6 1805 ax-7 1851 ax-10 1915 ax-12 1933 ax-13 2091 ax-ext 2431 |
This theorem depends on definitions: df-bi 189 df-or 372 df-an 373 df-tru 1447 df-ex 1664 df-nf 1668 df-sb 1798 df-clab 2438 df-cleq 2444 df-clel 2447 df-v 3047 df-sbc 3268 |
This theorem is referenced by: (None) |
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