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Metamath Proof Explorer

Theorem re1luk1

Description: luk-1 derived from the Tarski-Bernays-Wajsberg axioms. (Contributed by Anthony Hart, 16-Aug-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion re1luk1 
|- ( ( ph -> ps ) -> ( ( ps -> ch ) -> ( ph -> ch ) ) )

Proof

Step Hyp Ref Expression
1 tbw-ax1 
 |-  ( ( ph -> ps ) -> ( ( ps -> ch ) -> ( ph -> ch ) ) )