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Mirrors > Home > ILE Home > Th. List > mpbidi | Unicode version |
Description: A deduction from a biconditional, related to modus ponens. (Contributed by NM, 9-Aug-1994.) |
Ref | Expression |
---|---|
mpbidi.min |
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mpbidi.maj |
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Ref | Expression |
---|---|
mpbidi |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpbidi.min |
. 2
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2 | mpbidi.maj |
. . 3
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3 | 2 | biimpd 143 |
. 2
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4 | 1, 3 | sylcom 28 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: tpid3g 3646 ralxfr2d 4393 rexxfr2d 4394 ovmpt4g 5901 ovi3 5915 bj-inf2vnlem1 13339 |
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