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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 2510 | . 2 |
3 | mprg.1 | . 2 | |
4 | 2, 3 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 2128 wral 2435 |
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 1429 |
This theorem depends on definitions: df-bi 116 df-ral 2440 |
This theorem is referenced by: reximia 2552 rmoimia 2914 iuneq2i 3869 iineq2i 3870 dfiun2 3885 dfiin2 3886 dfiun3 4847 dfiin3 4848 cnviinm 5129 ixpintm 6672 sumeq2i 11272 prodeq2i 11470 bj-omtrans 13602 |
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