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Mirrors > Home > ILE Home > Th. List > pm5.74rd | Unicode version |
Description: Distribution of implication over biconditional (deduction rule). (Contributed by NM, 19-Mar-1997.) |
Ref | Expression |
---|---|
pm5.74rd.1 |
Ref | Expression |
---|---|
pm5.74rd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm5.74rd.1 | . 2 | |
2 | pm5.74 177 | . 2 | |
3 | 1, 2 | sylibr 132 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 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: pm5.35 859 |
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