Theorem rp-simp2-frege 38086

Description: Simplification of triple conjunction. Compare with simp2 1062. (Contributed by RP, 24-Dec-2019.) (Proof modification is discouraged.)

Assertion

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

Proof of Theorem rp-simp2-frege

Step	Hyp	Ref	Expression
1		ax-frege1 38084	. 2 |- ( ps -> ( ch -> ps ) )
2		ax-frege1 38084	. 2 |- ( ( ps -> ( ch -> ps ) ) -> ( ph -> ( ps -> ( ch -> ps ) ) ) )
3	1, 2	ax-mp 5	1 |- ( ph -> ( ps -> ( ch -> ps ) ) )

Syntax hints:   -> wi 4

This theorem was proved from axioms:  ax-mp 5  ax-frege1 38084

This theorem is referenced by:  rp-simp2  38087  rp-frege24  38091  rp-4frege  38096