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Mirrors > Home > ILE Home > Th. List > ibibr | Unicode version |
Description: Implication in terms of implication and biconditional. (Contributed by NM, 29-Apr-2005.) (Proof shortened by Wolf Lammen, 21-Dec-2013.) |
Ref | Expression |
---|---|
ibibr |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm5.501 243 |
. . 3
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2 | bicom 139 |
. . 3
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3 | 1, 2 | syl6bb 195 |
. 2
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4 | 3 | pm5.74i 179 |
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 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: tbt 246 oibabs 686 rabxfrd 4350 |
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