Description: A closed form of syllogism (see syl ). Theorem *2.05 of WhiteheadRussell p. 100. Copy of imim2 with a different proof. (Contributed by Wolf Lammen, 17-Dec-2018) (New usage is discouraged.) (Proof modification is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | wl-luk-imim2 | |- ( ( ph -> ps ) -> ( ( ch -> ph ) -> ( ch -> ps ) ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ax-luk1 | |- ( ( ch -> ph ) -> ( ( ph -> ps ) -> ( ch -> ps ) ) ) |
|
| 2 | 1 | wl-luk-com12 | |- ( ( ph -> ps ) -> ( ( ch -> ph ) -> ( ch -> ps ) ) ) |