Metamath Proof Explorer


Theorem bj-nnclavc

Description: Commuted form of bj-nnclav . Notice the non-intuitionistic proof from bj-peircei and imim1i . (Contributed by BJ, 30-Jul-2024) A proof which is shorter when compressed uses embantd . (Proof modification is discouraged.)

Ref Expression
Assertion bj-nnclavc
|- ( ( ph -> ps ) -> ( ( ( ph -> ps ) -> ph ) -> ps ) )

Proof

Step Hyp Ref Expression
1 bj-nnclav
 |-  ( ( ( ph -> ps ) -> ph ) -> ( ( ph -> ps ) -> ps ) )
2 1 com12
 |-  ( ( ph -> ps ) -> ( ( ( ph -> ps ) -> ph ) -> ps ) )