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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 |
Ref | Expression |
---|---|
pm5.32ri |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm5.32i.1 | . . 3 | |
2 | 1 | pm5.32i 450 | . 2 |
3 | ancom 264 | . 2 | |
4 | ancom 264 | . 2 | |
5 | 2, 3, 4 | 3bitr4i 211 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 |
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: anbi1i 454 pm5.36 600 pm5.61 784 oranabs 805 ceqsralt 2749 ceqsrexbv 2853 reuind 2927 rabsn 3638 dfoprab2 5881 xpsnen 6779 nn1suc 8868 isprm2 12038 isxms2 13019 |
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