Theorem 3imp231

Description: Importation inference. (Contributed by Alan Sare, 17-Oct-2017)

	Ref	Expression
Hypothesis	3imp.1	⊢ ( 𝜑 → ( 𝜓 → ( 𝜒 → 𝜃 ) ) )
Assertion	3imp231	⊢ ( ( 𝜓 ∧ 𝜒 ∧ 𝜑 ) → 𝜃 )

Proof

Step	Hyp	Ref	Expression
1		3imp.1	⊢ ( 𝜑 → ( 𝜓 → ( 𝜒 → 𝜃 ) ) )
2	1	com3l	⊢ ( 𝜓 → ( 𝜒 → ( 𝜑 → 𝜃 ) ) )
3	2	3imp	⊢ ( ( 𝜓 ∧ 𝜒 ∧ 𝜑 ) → 𝜃 )