Metamath Proof Explorer

Theorem rp-simp2-frege

Description: Simplification of triple conjunction. Compare with simp2 . (Contributed by RP, 24-Dec-2019) (Proof modification is discouraged.)

Ref Expression
Assertion rp-simp2-frege 
|- ( ph -> ( ps -> ( ch -> ps ) ) )

Proof

Step Hyp Ref Expression
1 ax-frege1 
 |-  ( ps -> ( ch -> ps ) )
2 ax-frege1 
 |-  ( ( ps -> ( ch -> ps ) ) -> ( ph -> ( ps -> ( ch -> ps ) ) ) )
3 1 2 ax-mp 
 |-  ( ph -> ( ps -> ( ch -> ps ) ) )