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Mirrors > Home > ILE Home > Th. List > mpg | Unicode version |
Description: Modus ponens combined with generalization. (Contributed by NM, 24-May-1994.) |
Ref | Expression |
---|---|
mpg.1 | |
mpg.2 |
Ref | Expression |
---|---|
mpg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpg.2 | . . 3 | |
2 | 1 | ax-gen 1425 | . 2 |
3 | mpg.1 | . 2 | |
4 | 2, 3 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1329 |
This theorem was proved from axioms: ax-mp 5 ax-gen 1425 |
This theorem is referenced by: alimi 1431 albii 1446 a5i 1522 eximi 1579 exbii 1584 19.9h 1622 hbn 1632 chvar 1730 equsb1 1758 equsb2 1759 chvarvv 1880 chvarv 1907 moimi 2062 2eumo 2085 vtoclf 2734 vtocl2 2736 vtocl3 2737 spcimgf 2761 spcimegf 2762 spcgf 2763 spcegf 2764 mosub 2857 csbexa 4052 nalset 4053 ssopab2i 4194 pwnex 4365 eusv2nf 4372 iotabii 5105 fvmptss2 5489 eufnfv 5641 riotaexg 5727 xpcomco 6713 bj-ex 12958 ch2var 12963 bj-vtoclgf 12972 elabgf1 12975 bj-rspg 12983 sumdc2 12995 bdsepnf 13075 bj-nalset 13082 setindf 13153 strcollnf 13172 |
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