Theorem uun123p3

Description: A deduction unionizing a non-unionized collection of virtual hypotheses. (Contributed by Alan Sare, 4-Feb-2017) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	uun123p3.1	⊢ ( ( 𝜓 ∧ 𝜒 ∧ 𝜑 ) → 𝜃 )
Assertion	uun123p3	⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) → 𝜃 )

Proof

Step	Hyp	Ref	Expression
1		uun123p3.1	⊢ ( ( 𝜓 ∧ 𝜒 ∧ 𝜑 ) → 𝜃 )
2	1	3comr	⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) → 𝜃 )