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Mirrors > Home > ILE Home > Th. List > mprg | Unicode version |
Description: Modus ponens combined with restricted generalization. (Contributed by NM, 10-Aug-2004.) |
Ref | Expression |
---|---|
mprg.1 |
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mprg.2 |
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Ref | Expression |
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mprg |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mprg.2 |
. . 3
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2 | 1 | rgen 2540 |
. 2
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3 | mprg.1 |
. 2
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4 | 2, 3 | ax-mp 5 |
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 ax-gen 1459 |
This theorem depends on definitions: df-bi 117 df-ral 2470 |
This theorem is referenced by: reximia 2582 rmoimia 2951 iuneq2i 3916 iineq2i 3917 dfiun2 3932 dfiin2 3933 dfiun3 4898 dfiin3 4899 cnviinm 5182 ixpintm 6739 sumeq2i 11386 prodeq2i 11584 2sqlem1 14757 bj-omtrans 15004 |
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