New Foundations Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > NFE Home > Th. List > pm5.32ri | Unicode version |
Description: Distribution of implication over biconditional (inference rule). (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 618 | . 2 |
3 | ancom 437 | . 2 | |
4 | ancom 437 | . 2 | |
5 | 2, 3, 4 | 3bitr4i 268 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wa 358 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 |
This theorem depends on definitions: df-bi 177 df-an 360 |
This theorem is referenced by: anbi1i 676 pm5.61 693 oranabs 829 pm5.36 849 2eu5 2288 ceqsralt 2882 ceqsrexbv 2973 reuind 3039 rabsn 3790 elpw1 4144 pw1in 4164 addccan2nclem1 6262 scancan 6329 |
Copyright terms: Public domain | W3C validator |