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Mirrors > Home > ILE Home > Th. List > mpd3an23 | Unicode version |
Description: An inference based on modus ponens. (Contributed by NM, 4-Dec-2006.) |
Ref | Expression |
---|---|
mpd3an23.1 | |
mpd3an23.2 | |
mpd3an23.3 |
Ref | Expression |
---|---|
mpd3an23 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | id 19 | . 2 | |
2 | mpd3an23.1 | . 2 | |
3 | mpd3an23.2 | . 2 | |
4 | mpd3an23.3 | . 2 | |
5 | 1, 2, 3, 4 | syl3anc 1169 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 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: exp0 9480 bcpasc 9693 bccl 9694 pw2dvds 10544 |
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