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Mirrors > Home > ILE Home > Th. List > mpdd | Unicode version |
Description: A nested modus ponens deduction. (Contributed by NM, 12-Dec-2004.) |
Ref | Expression |
---|---|
mpdd.1 |
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mpdd.2 |
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Ref | Expression |
---|---|
mpdd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpdd.1 |
. 2
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2 | mpdd.2 |
. . 3
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3 | 2 | a2d 26 |
. 2
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4 | 1, 3 | mpd 13 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 |
This theorem is referenced by: mpid 42 mpdi 43 syld 45 syl6c 66 mpteqb 5519 oprabid 5811 nnmordi 6420 nnmord 6421 brecop 6527 findcard2 6791 findcard2s 6792 ordiso2 6928 zindd 9193 cau3lem 10918 climcau 11148 dvdsabseq 11581 metrest 12714 |
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