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	⊢ ( 𝜑 → ( 𝜓 → ( 𝜒 → 𝜓 ) ) )

Proof

Step	Hyp	Ref	Expression
1		ax-frege1	⊢ ( 𝜓 → ( 𝜒 → 𝜓 ) )
2		ax-frege1	⊢ ( ( 𝜓 → ( 𝜒 → 𝜓 ) ) → ( 𝜑 → ( 𝜓 → ( 𝜒 → 𝜓 ) ) ) )
3	1 2	ax-mp	⊢ ( 𝜑 → ( 𝜓 → ( 𝜒 → 𝜓 ) ) )