Description: Used to rederive standard propositional axioms from Lukasiewicz'. (Contributed by NM, 22-Dec-2002) (Proof modification is discouraged.) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | luklem3 | |- ( ph -> ( ( ( -. ph -> ps ) -> ch ) -> ( th -> ch ) ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | luk-3 | |- ( ph -> ( -. ph -> -. th ) ) |
|
2 | luklem2 | |- ( ( -. ph -> -. th ) -> ( ( ( -. ph -> ps ) -> ch ) -> ( th -> ch ) ) ) |
|
3 | 1 2 | luklem1 | |- ( ph -> ( ( ( -. ph -> ps ) -> ch ) -> ( th -> ch ) ) ) |