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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 713 |
. . 3
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3 | orel2 727 |
. . 3
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4 | 2, 3 | impbid2 143 |
. 2
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5 | 1, 4 | ax-mp 5 |
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-in2 616 ax-io 710 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: pm4.43 950 dn1dc 961 excxor 1388 un0 3468 opthprc 4689 frec0g 6411 nninfwlporlemd 7183 if0ab 14828 |
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