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Mirrors > Home > NFE Home > Th. List > mp3an23 | Unicode version |
Description: An inference based on modus ponens. (Contributed by NM, 14-Jul-2005.) |
Ref | Expression |
---|---|
mp3an23.1 | |
mp3an23.2 | |
mp3an23.3 |
Ref | Expression |
---|---|
mp3an23 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mp3an23.1 | . 2 | |
2 | mp3an23.2 | . . 3 | |
3 | mp3an23.3 | . . 3 | |
4 | 2, 3 | mp3an3 1266 | . 2 |
5 | 1, 4 | mpan2 652 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 w3a 934 |
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 df-an 360 df-3an 936 |
This theorem is referenced by: sbciegf 3077 vfintle 4546 vfin1cltv 4547 funpr 5151 enmap2lem5 6067 enprmaplem5 6080 nchoicelem17 6305 |
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