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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 | |
mpbidi.maj |
Ref | Expression |
---|---|
mpbidi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpbidi.min | . 2 | |
2 | mpbidi.maj | . . 3 | |
3 | 2 | biimpd 132 | . 2 |
4 | 1, 3 | sylcom 25 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: tpid3g 3483 ralxfr2d 4196 rexxfr2d 4197 ovmpt4g 5623 ovi3 5637 bj-inf2vnlem1 10095 |
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