Description: Inference that swaps (commutes) antecedents in an implication. Copy of com12 with a different proof. (Contributed by Wolf Lammen, 17-Dec-2018) (New usage is discouraged.) (Proof modification is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypothesis | wl-luk-com12.1 | |- ( ph -> ( ps -> ch ) ) |
|
Assertion | wl-luk-com12 | |- ( ps -> ( ph -> ch ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wl-luk-com12.1 | |- ( ph -> ( ps -> ch ) ) |
|
2 | wl-luk-pm2.27 | |- ( ps -> ( ( ps -> ch ) -> ch ) ) |
|
3 | 1 2 | wl-luk-imtrid | |- ( ps -> ( ph -> ch ) ) |