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Mirrors > Home > ILE Home > Th. List > mp3an1i | Unicode version |
Description: An inference based on modus ponens. (Contributed by NM, 5-Jul-2005.) |
Ref | Expression |
---|---|
mp3an1i.1 | |
mp3an1i.2 |
Ref | Expression |
---|---|
mp3an1i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mp3an1i.1 | . . 3 | |
2 | mp3an1i.2 | . . . 4 | |
3 | 2 | com12 30 | . . 3 |
4 | 1, 3 | mp3an1 1255 | . 2 |
5 | 4 | com12 30 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 w3a 919 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 df-3an 921 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |