Theorem uun121p1

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	uun121p1.1	|- ( ( ( ph /\ ps ) /\ ph ) -> ch )
Assertion	uun121p1	|- ( ( ph /\ ps ) -> ch )

Proof

Step	Hyp	Ref	Expression
1		uun121p1.1	|- ( ( ( ph /\ ps ) /\ ph ) -> ch )
2		anabs1	|- ( ( ( ph /\ ps ) /\ ph ) <-> ( ph /\ ps ) )
3	2 1	sylbir	|- ( ( ph /\ ps ) -> ch )