Mathbox for Thierry Arnoux < Previous   Next > Nearby theorems Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  19.9d2r Structured version   Unicode version

Theorem 19.9d2r 24005
 Description: A deduction version of one direction of 19.9 1800 with two variables (Contributed by Thierry Arnoux, 30-Jan-2017.)
Hypotheses
Ref Expression
19.9d2r.1
19.9d2r.2
19.9d2r.3
Assertion
Ref Expression
19.9d2r
Distinct variable group:   ,
Allowed substitution hints:   ()   (,)   (,)   (,)

Proof of Theorem 19.9d2r
StepHypRef Expression
1 nfv 1631 . 2
2 19.9d2r.1 . 2
3 19.9d2r.2 . 2
4 19.9d2r.3 . 2
51, 2, 3, 419.9d2rf 24004 1
 Colors of variables: wff set class Syntax hints:   wi 4  wnf 1554  wrex 2713 This theorem is referenced by:  xrofsup  24161 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1556  ax-5 1567  ax-17 1628  ax-9 1669  ax-8 1690  ax-6 1747  ax-7 1752  ax-11 1764 This theorem depends on definitions:  df-bi 179  df-an 362  df-ex 1552  df-nf 1555  df-rex 2718
 Copyright terms: Public domain W3C validator