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Mirrors > Home > NFE Home > Th. List > pm5.32d | Unicode version |
Description: Distribution of implication over biconditional (deduction rule). (Contributed by NM, 29-Oct-1996.) |
Ref | Expression |
---|---|
pm5.32d.1 |
Ref | Expression |
---|---|
pm5.32d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm5.32d.1 | . 2 | |
2 | pm5.32 617 | . 2 | |
3 | 1, 2 | sylib 188 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wa 358 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 df-an 360 |
This theorem is referenced by: pm5.32rd 621 pm5.32da 622 anbi2d 684 cbval2 2004 cbvex2 2005 cores 5084 isoini 5497 mpt2eq123 5661 nmembers1lem3 6270 |
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