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Mirrors > Home > NFE Home > Th. List > mp2and | Unicode version |
Description: A deduction based on modus ponens. (Contributed by NM, 12-Dec-2004.) |
Ref | Expression |
---|---|
mp2and.1 | |
mp2and.2 | |
mp2and.3 |
Ref | Expression |
---|---|
mp2and |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mp2and.2 | . 2 | |
2 | mp2and.1 | . . 3 | |
3 | mp2and.3 | . . 3 | |
4 | 2, 3 | mpand 656 | . 2 |
5 | 1, 4 | mpd 14 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 358 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 |
This theorem depends on definitions: df-bi 177 df-an 360 |
This theorem is referenced by: ssnelpssd 3614 nnsucelr 4428 sfinltfin 4535 vfinncvntnn 4548 trd 5921 frd 5922 antid 5929 |
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