Metamath Proof Explorer


Theorem uun121

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 uun121.1
|- ( ( ph /\ ( ph /\ ps ) ) -> ch )
Assertion uun121
|- ( ( ph /\ ps ) -> ch )

Proof

Step Hyp Ref Expression
1 uun121.1
 |-  ( ( ph /\ ( ph /\ ps ) ) -> ch )
2 anabs5
 |-  ( ( ph /\ ( ph /\ ps ) ) <-> ( ph /\ ps ) )
3 2 1 sylbir
 |-  ( ( ph /\ ps ) -> ch )