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Metamath Proof Explorer

Theorem uunT21

Description: A deduction unionizing a non-unionized collection of virtual hypotheses. (Contributed by Alan Sare, 3-Dec-2015) (Proof modification is discouraged.) (New usage is discouraged.) (Proof modification is discouraged.) (New usage is discouraged.)

		Ref	Expression
	Hypothesis	uunT21.1	⊢ ( ( ⊤ ∧ ( 𝜑 ∧ 𝜓 ) ) → 𝜒 )
	Assertion	uunT21	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜒 )

Proof

Step	Hyp	Ref	Expression
1		uunT21.1	⊢ ( ( ⊤ ∧ ( 𝜑 ∧ 𝜓 ) ) → 𝜒 )
2	1	uunT1	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜒 )