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Mirrors > Home > ILE Home > Th. List > biorfi | Unicode version |
Description: A wff is equivalent to its disjunction with falsehood. (Contributed by NM, 23-Mar-1995.) |
Ref | Expression |
---|---|
biorfi.1 |
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Ref | Expression |
---|---|
biorfi |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | biorfi.1 |
. 2
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2 | orc 684 |
. . 3
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3 | orel2 698 |
. . 3
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4 | 2, 3 | impbid2 142 |
. 2
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5 | 1, 4 | ax-mp 7 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in2 587 ax-io 681 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: pm4.43 916 dn1dc 927 excxor 1339 un0 3362 opthprc 4550 frec0g 6248 |
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