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Mirrors > Home > MPE Home > Th. List > mp3anl3 | Structured version Visualization version Unicode version |
Description: An inference based on modus ponens. (Contributed by NM, 24-Feb-2005.) |
Ref | Expression |
---|---|
mp3anl3.1 | |
mp3anl3.2 |
Ref | Expression |
---|---|
mp3anl3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mp3anl3.1 | . . 3 | |
2 | mp3anl3.2 | . . . 4 | |
3 | 2 | ex 450 | . . 3 |
4 | 1, 3 | mp3an3 1413 | . 2 |
5 | 4 | imp 445 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 384 w3a 1037 |
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 197 df-an 386 df-3an 1039 |
This theorem is referenced by: mp3anr3 1423 ioombl 23333 nmopadjlem 28948 nmopcoadji 28960 atcvat3i 29255 |
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