Users' Mathboxes Mathbox for Alan Sare < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  uunT21 Structured version   Visualization version   Unicode version

Theorem uunT21 39009
Description: A deduction unionizing a non-unionized collection of virtual hypotheses. (Contributed by Alan Sare, 3-Dec-2015.) (Proof modification is discouraged.) (New usage is discouraged.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
uunT21.1  |-  ( ( T.  /\  ( ph  /\ 
ps ) )  ->  ch )
Assertion
Ref Expression
uunT21  |-  ( (
ph  /\  ps )  ->  ch )

Proof of Theorem uunT21
StepHypRef Expression
1 uunT21.1 . 2  |-  ( ( T.  /\  ( ph  /\ 
ps ) )  ->  ch )
21uunT1 39007 1  |-  ( (
ph  /\  ps )  ->  ch )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ wa 384   T. wtru 1484
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-or 385  df-an 386  df-tru 1486
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator