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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 2374 | . 2 |
3 | mprg.1 | . 2 | |
4 | 2, 3 | ax-mp 7 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1393 wral 2306 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-gen 1338 |
This theorem depends on definitions: df-bi 110 df-ral 2311 |
This theorem is referenced by: reximia 2414 rmoimia 2741 iuneq2i 3675 iineq2i 3676 dfiun2 3691 dfiin2 3692 dfiun3 4591 dfiin3 4592 cnviinm 4859 bj-omtrans 10081 |
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