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Mirrors > Home > ILE Home > Th. List > mtt | Unicode version |
Description: Modus-tollens-like theorem. (Contributed by NM, 7-Apr-2001.) (Revised by Mario Carneiro, 31-Jan-2015.) |
Ref | Expression |
---|---|
mtt |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.21 589 |
. 2
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2 | con3 614 |
. . 3
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3 | 2 | com12 30 |
. 2
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4 | 1, 3 | impbid2 142 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in1 586 ax-in2 587 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: nbn2 669 dfnot 1332 |
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