Metamath Proof Explorer


Theorem uun123p4

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 uun123p4.1
|- ( ( ch /\ ps /\ ph ) -> th )
Assertion uun123p4
|- ( ( ph /\ ps /\ ch ) -> th )

Proof

Step Hyp Ref Expression
1 uun123p4.1
 |-  ( ( ch /\ ps /\ ph ) -> th )
2 1 3com13
 |-  ( ( ph /\ ps /\ ch ) -> th )