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Mirrors > Home > MPE Home > Th. List > mpand | Structured version Visualization version Unicode version |
Description: A deduction based on modus ponens. (Contributed by NM, 12-Dec-2004.) (Proof shortened by Wolf Lammen, 7-Apr-2013.) |
Ref | Expression |
---|---|
mpand.1 | |
mpand.2 |
Ref | Expression |
---|---|
mpand |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpand.1 | . 2 | |
2 | mpand.2 | . . 3 | |
3 | 2 | ancomsd 470 | . 2 |
4 | 1, 3 | mpan2d 710 | 1 |
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