Metamath Proof Explorer


Theorem wl-luk-com12

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 ) )

Proof

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 ) )