Theorem simp2r

Description: Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011)

	Ref	Expression
Assertion	simp2r	⊢ ( ( 𝜑 ∧ ( 𝜓 ∧ 𝜒 ) ∧ 𝜃 ) → 𝜒 )

Proof

Step	Hyp	Ref	Expression
1		simpr	⊢ ( ( 𝜓 ∧ 𝜒 ) → 𝜒 )
2	1	3ad2ant2	⊢ ( ( 𝜑 ∧ ( 𝜓 ∧ 𝜒 ) ∧ 𝜃 ) → 𝜒 )