Theorem 3anidm12p2

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	3anidm12p2.1	|- ( ( ps /\ ph /\ ph ) -> ch )
Assertion	3anidm12p2	|- ( ( ph /\ ps ) -> ch )

Proof

Step	Hyp	Ref	Expression
1		3anidm12p2.1	|- ( ( ps /\ ph /\ ph ) -> ch )
2		3anrot	|- ( ( ps /\ ph /\ ph ) <-> ( ph /\ ph /\ ps ) )
3	2 1	sylbir	|- ( ( ph /\ ph /\ ps ) -> ch )
4	3	3anidm12	|- ( ( ph /\ ps ) -> ch )