Theorem 3anidm12p1 39033

Description: A deduction unionizing a non-unionized collection of virtual hypotheses. 3anidm12 1383 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.)

Hypothesis

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

Assertion

Ref	Expression
3anidm12p1	|- ( ( ph /\ ps ) -> ch )

Proof of Theorem 3anidm12p1

Step	Hyp	Ref	Expression
1		3anidm12p1.1	. 2 |- ( ( ph /\ ps /\ ph ) -> ch )
2	1	3anidm13 1384	1 |- ( ( ph /\ ps ) -> ch )

Syntax hints:   -> wi 4   /\ wa 384   /\ w3a 1037

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-an 386  df-3an 1039

This theorem is referenced by: (None)