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Mirrors > Home > ILE Home > Th. List > mpii | Unicode version |
Description: A doubly nested modus ponens inference. (Contributed by NM, 31-Dec-1993.) (Proof shortened by Wolf Lammen, 31-Jul-2012.) |
Ref | Expression |
---|---|
mpii.1 | |
mpii.2 |
Ref | Expression |
---|---|
mpii |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpii.1 | . . 3 | |
2 | 1 | a1i 9 | . 2 |
3 | mpii.2 | . 2 | |
4 | 2, 3 | mpdi 43 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 |
This theorem is referenced by: equveli 1746 intmin 3841 dfiin2g 3896 exmidsssnc 4179 ssorduni 4461 opnneiid 12762 |
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