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Mirrors > Home > ILE Home > Th. List > mpanlr1 | Unicode version |
Description: An inference based on modus ponens. (Contributed by NM, 30-Dec-2004.) (Proof shortened by Wolf Lammen, 7-Apr-2013.) |
Ref | Expression |
---|---|
mpanlr1.1 |
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mpanlr1.2 |
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Ref | Expression |
---|---|
mpanlr1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpanlr1.1 |
. . 3
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2 | 1 | jctl 314 |
. 2
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3 | mpanlr1.2 |
. 2
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4 | 2, 3 | sylanl2 403 |
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 ax-ia1 106 ax-ia2 107 ax-ia3 108 |
This theorem is referenced by: (None) |
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