Metamath Proof Explorer


Theorem syl5imp

Description: Closed form of syl5 . Derived automatically from syl5impVD . (Contributed by Alan Sare, 31-Dec-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion syl5imp φψχθψφθχ

Proof

Step Hyp Ref Expression
1 pm2.04 φψχψφχ
2 1 imim2d φψχθψθφχ
3 2 com34 φψχθψφθχ