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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 | |
mprg.2 |
Ref | Expression |
---|---|
mprg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mprg.2 | . . 3 | |
2 | 1 | rgen 2523 | . 2 |
3 | mprg.1 | . 2 | |
4 | 2, 3 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 2141 wral 2448 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-gen 1442 |
This theorem depends on definitions: df-bi 116 df-ral 2453 |
This theorem is referenced by: reximia 2565 rmoimia 2932 iuneq2i 3891 iineq2i 3892 dfiun2 3907 dfiin2 3908 dfiun3 4870 dfiin3 4871 cnviinm 5152 ixpintm 6703 sumeq2i 11327 prodeq2i 11525 2sqlem1 13744 bj-omtrans 13991 |
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