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Mirrors > Home > ILE Home > Th. List > pm5.32rd | Unicode version |
Description: Distribution of implication over biconditional (deduction rule). (Contributed by NM, 25-Dec-2004.) |
Ref | Expression |
---|---|
pm5.32d.1 |
Ref | Expression |
---|---|
pm5.32rd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm5.32d.1 | . . 3 | |
2 | 1 | pm5.32d 437 | . 2 |
3 | ancom 262 | . 2 | |
4 | ancom 262 | . 2 | |
5 | 2, 3, 4 | 3bitr4g 221 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wb 103 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: anbi1d 452 pm5.71dc 902 1idprl 6780 1idpru 6781 |
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