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Mirrors > Home > NFE 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 381 |
. 2
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3 | orim12i.2 |
. . 3
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4 | 3 | olcd 382 |
. 2
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5 | 2, 4 | jaoi 368 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 df-or 359 |
This theorem is referenced by: orim1i 503 orim2i 504 prlem2 929 eueq3 3012 lefinlteq 4464 funcnvuni 5162 muc0or 6253 nchoicelem9 6298 |
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