Metamath Proof Explorer


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
|- ( ( ps /\ ch /\ ph ) -> th )
Assertion uun123p3
|- ( ( ph /\ ps /\ ch ) -> th )

Proof

Step Hyp Ref Expression
1 uun123p3.1
 |-  ( ( ps /\ ch /\ ph ) -> th )
2 1 3comr
 |-  ( ( ph /\ ps /\ ch ) -> th )