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Mirrors > Home > ILE Home > Th. List > 3pm3.2i | Unicode version |
Description: Infer conjunction of premises. (Contributed by NM, 10-Feb-1995.) |
Ref | Expression |
---|---|
3pm3.2i.1 |
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3pm3.2i.2 |
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3pm3.2i.3 |
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Ref | Expression |
---|---|
3pm3.2i |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3pm3.2i.1 |
. . 3
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2 | 3pm3.2i.2 |
. . 3
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3 | 1, 2 | pm3.2i 272 |
. 2
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4 | 3pm3.2i.3 |
. 2
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5 | df-3an 980 |
. 2
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6 | 3, 4, 5 | mpbir2an 942 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 |
This theorem depends on definitions: df-bi 117 df-3an 980 |
This theorem is referenced by: mpbir3an 1179 3jaoi 1303 ftp 5703 4bc2eq6 10756 halfleoddlt 11901 strleun 12565 strle1g 12567 slotstnscsi 12655 slotsdnscsi 12679 slotsdifunifndx 12688 2irrexpqap 14435 lgslem2 14441 lgsdir2lem2 14469 lgsdir2lem3 14470 ex-dvds 14521 nconstwlpolem0 14850 |
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