Theorem rp-simp2

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

	Ref	Expression
Assertion	rp-simp2	⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) → 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		rp-simp2-frege	⊢ ( 𝜑 → ( 𝜓 → ( 𝜒 → 𝜓 ) ) )
2	1	3imp	⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) → 𝜓 )