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Mirrors > Home > ILE Home > Th. List > pm5.32ri | Unicode version |
Description: Distribution of implication over biconditional (inference form). (Contributed by NM, 12-Mar-1995.) |
Ref | Expression |
---|---|
pm5.32i.1 |
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Ref | Expression |
---|---|
pm5.32ri |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm5.32i.1 |
. . 3
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2 | 1 | pm5.32i 454 |
. 2
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3 | ancom 266 |
. 2
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4 | ancom 266 |
. 2
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5 | 2, 3, 4 | 3bitr4i 212 |
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 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: anbi1i 458 pm5.36 610 pm5.61 794 oranabs 815 ceqsralt 2764 ceqsrexbv 2868 reuind 2942 rabsn 3659 dfoprab2 5921 xpsnen 6820 nn1suc 8937 isprm2 12116 ismnd 12819 dfgrp2e 12902 isxms2 13922 |
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