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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 2459 |
. 2
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3 | mprg.1 |
. 2
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4 | 2, 3 | ax-mp 7 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-gen 1408 |
This theorem depends on definitions: df-bi 116 df-ral 2395 |
This theorem is referenced by: reximia 2501 rmoimia 2855 iuneq2i 3797 iineq2i 3798 dfiun2 3813 dfiin2 3814 dfiun3 4756 dfiin3 4757 cnviinm 5038 ixpintm 6573 sumeq2i 11025 bj-omtrans 12846 |
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