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Mirrors > Home > NFE Home > Th. List > mtbid | Unicode version |
Description: A deduction from a biconditional, similar to modus tollens. (Contributed by NM, 26-Nov-1995.) |
Ref | Expression |
---|---|
mtbid.min |
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mtbid.maj |
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Ref | Expression |
---|---|
mtbid |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mtbid.min |
. 2
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2 | mtbid.maj |
. . 3
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3 | 2 | biimprd 214 |
. 2
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4 | 1, 3 | mtod 168 |
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 depends on definitions: df-bi 177 |
This theorem is referenced by: sylnib 295 eqneltrrd 2447 neleqtrd 2448 eueq3 3012 nnadjoinpw 4522 nnc3n3p2 6280 |
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