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Mirrors > Home > ILE Home > Th. List > ordir | Unicode version |
Description: Distributive law for disjunction. (Contributed by NM, 12-Aug-1994.) |
Ref | Expression |
---|---|
ordir |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ordi 806 |
. 2
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2 | orcom 718 |
. 2
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3 | orcom 718 |
. . 3
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4 | orcom 718 |
. . 3
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5 | 3, 4 | anbi12i 456 |
. 2
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6 | 1, 2, 5 | 3bitr4i 211 |
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 105 ax-ia2 106 ax-ia3 107 ax-io 699 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: orddi 810 pm5.62dc 930 dn1dc 945 suc11g 4480 bj-peano4 13324 |
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