Theorem simp3r

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

	Ref	Expression
Assertion	simp3r	⊢ ( ( 𝜑 ∧ 𝜓 ∧ ( 𝜒 ∧ 𝜃 ) ) → 𝜃 )

Proof

Step	Hyp	Ref	Expression
1		simpr	⊢ ( ( 𝜒 ∧ 𝜃 ) → 𝜃 )
2	1	3ad2ant3	⊢ ( ( 𝜑 ∧ 𝜓 ∧ ( 𝜒 ∧ 𝜃 ) ) → 𝜃 )