Description: Inference adding common antecedents in an implication. Copy of imim2i with a different proof. (Contributed by Wolf Lammen, 17-Dec-2018) (New usage is discouraged.) (Proof modification is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypothesis | wl-luk-imim2i.1 | |- ( ph -> ps ) |
|
Assertion | wl-luk-imim2i | |- ( ( ch -> ph ) -> ( ch -> ps ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wl-luk-imim2i.1 | |- ( ph -> ps ) |
|
2 | ax-luk1 | |- ( ( ch -> ph ) -> ( ( ph -> ps ) -> ( ch -> ps ) ) ) |
|
3 | 1 2 | wl-luk-mpi | |- ( ( ch -> ph ) -> ( ch -> ps ) ) |