Metamath Proof Explorer


Theorem uun123p2

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 uun123p2.1 ⊢ χ ∧ φ ∧ ψ → θ
Assertion uun123p2 ⊢ φ ∧ ψ ∧ χ → θ

Proof

Step Hyp Ref Expression
1 uun123p2.1 ⊢ χ ∧ φ ∧ ψ → θ
2 1 3coml ⊢ φ ∧ ψ ∧ χ → θ