Users' Mathboxes Mathbox for Alan Sare < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  uun123p1 Structured version   Unicode version

Theorem uun123p1 32686
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.)
Hypothesis
Ref Expression
uun123p1.1  |-  ( ( ps  /\  ph  /\  ch )  ->  th )
Assertion
Ref Expression
uun123p1  |-  ( (
ph  /\  ps  /\  ch )  ->  th )

Proof of Theorem uun123p1
StepHypRef Expression
1 uun123p1.1 . 2  |-  ( ( ps  /\  ph  /\  ch )  ->  th )
213com12 1200 1  |-  ( (
ph  /\  ps  /\  ch )  ->  th )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ w3a 973
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 185  df-an 371  df-3an 975
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator