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 ( ( ⊤ ∧ ( 𝜑𝜓 ) ) → 𝜒 )
Assertion uunT21 ( ( 𝜑𝜓 ) → 𝜒 )

Proof

Step Hyp Ref Expression
1 uunT21.1 ( ( ⊤ ∧ ( 𝜑𝜓 ) ) → 𝜒 )
2 1 uunT1 ( ( 𝜑𝜓 ) → 𝜒 )