Metamath Proof Explorer


Theorem 3anidm12p1

Description: A deduction unionizing a non-unionized collection of virtual hypotheses. 3anidm12 denotes the deduction which would have been named uun112 if it did not pre-exist in set.mm. This second permutation's name is based on this pre-existing name. (Contributed by Alan Sare, 4-Feb-2017) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypothesis 3anidm12p1.1
|- ( ( ph /\ ps /\ ph ) -> ch )
Assertion 3anidm12p1
|- ( ( ph /\ ps ) -> ch )

Proof

Step Hyp Ref Expression
1 3anidm12p1.1
 |-  ( ( ph /\ ps /\ ph ) -> ch )
2 1 3anidm13
 |-  ( ( ph /\ ps ) -> ch )