theorem anim1a (a b c: wff): $ (a -> b -> c) -> b /\ a -> c /\ a $;
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ancom | a /\ c -> c /\ a |
|
| 2 | ancom | b /\ a -> a /\ b |
|
| 3 | anim2a | (a -> b -> c) -> a /\ b -> a /\ c |
|
| 4 | 2, 3 | syl5 | (a -> b -> c) -> b /\ a -> a /\ c |
| 5 | 1, 4 | syl6 | (a -> b -> c) -> b /\ a -> c /\ a |