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Mirrors > Home > MPE Home > Th. List > mt2 | Structured version Visualization version Unicode version |
Description: A rule similar to modus tollens. Inference associated with con2i 124. (Contributed by NM, 19-Aug-1993.) (Proof shortened by Wolf Lammen, 10-Sep-2013.) |
Ref | Expression |
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mt2.1 |
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mt2.2 |
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Ref | Expression |
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mt2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mt2.1 |
. . 3
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2 | 1 | a1i 11 |
. 2
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3 | mt2.2 |
. 2
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4 | 2, 3 | pm2.65i 178 |
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 |
This theorem is referenced by: bijust 188 ax6dgen 1919 elirrv 8130 cardom 8438 0nnn 10663 nthruz 14381 hauspwdom 20593 fin1aufil 21025 rectbntr0 21928 lgam1 24068 gam1 24069 wlkntrl 25371 ex-po 25964 strlem1 27984 eulerpartlemt 29277 nalf 31134 finxpreclem3 31855 konigsberg-av 40171 |
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