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Mirrors > Home > ILE Home > Th. List > pm5.32rd | Unicode version |
Description: Distribution of implication over biconditional (deduction form). (Contributed by NM, 25-Dec-2004.) |
Ref | Expression |
---|---|
pm5.32d.1 |
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Ref | Expression |
---|---|
pm5.32rd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm5.32d.1 |
. . 3
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2 | 1 | pm5.32d 446 |
. 2
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3 | ancom 264 |
. 2
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4 | ancom 264 |
. 2
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5 | 2, 3, 4 | 3bitr4g 222 |
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 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: anbi1d 461 pm5.71dc 946 1idprl 7422 1idpru 7423 |
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