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Theorem uun123p3 38059
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.)
Hypothesis
Ref Expression
uun123p3.1 ((𝜓𝜒𝜑) → 𝜃)
Assertion
Ref Expression
uun123p3 ((𝜑𝜓𝜒) → 𝜃)

Proof of Theorem uun123p3
StepHypRef Expression
1 uun123p3.1 . 2 ((𝜓𝜒𝜑) → 𝜃)
213comr 1265 1 ((𝜑𝜓𝜒) → 𝜃)
Colors of variables: wff setvar class
Syntax hints:  wi 4  w3a 1031
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 196  df-an 385  df-3an 1033
This theorem is referenced by: (None)
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