Metamath Proof Explorer


Theorem uun2131

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 uun2131.1
|- ( ( ( ph /\ ps ) /\ ( ph /\ ch ) ) -> th )
Assertion uun2131
|- ( ( ph /\ ps /\ ch ) -> th )

Proof

Step Hyp Ref Expression
1 uun2131.1
 |-  ( ( ( ph /\ ps ) /\ ( ph /\ ch ) ) -> th )
2 1 3impdi
 |-  ( ( ph /\ ps /\ ch ) -> th )