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Mirrors > Home > ILE Home > Th. List > orim12i | Unicode version |
Description: Disjoin antecedents and consequents of two premises. (Contributed by NM, 6-Jun-1994.) (Proof shortened by Wolf Lammen, 25-Jul-2012.) |
Ref | Expression |
---|---|
orim12i.1 |
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orim12i.2 |
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Ref | Expression |
---|---|
orim12i |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | orim12i.1 |
. . 3
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2 | 1 | orcd 733 |
. 2
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3 | orim12i.2 |
. . 3
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4 | 3 | olcd 734 |
. 2
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5 | 2, 4 | jaoi 716 |
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 ax-io 709 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: orim1i 760 orim2i 761 dcim 841 pm5.12dc 910 pm5.14dc 911 pm5.55dc 913 pm5.54dc 918 prlem2 974 xordc1 1393 19.43 1628 eueq3dc 2911 inssun 3375 abvor0dc 3446 ifmdc 3574 undifexmid 4193 pwssunim 4284 ordtriexmid 4520 ontriexmidim 4521 ordtri2orexmid 4522 ontr2exmid 4524 onsucsssucexmid 4526 onsucelsucexmid 4529 ordsoexmid 4561 0elsucexmid 4564 ordpwsucexmid 4569 ordtri2or2exmid 4570 ontri2orexmidim 4571 funcnvuni 5285 oprabidlem 5905 2oconcl 6439 inffiexmid 6905 unfiexmid 6916 ctssexmid 7147 exmidonfinlem 7191 sup3exmid 8913 zeo 9357 ef0lem 11667 |
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