Intuitionistic Logic Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  ILE Home  >  Th. List  >  r19.29af Unicode version

Theorem r19.29af 2576
 Description: A commonly used pattern based on r19.29 2572 (Contributed by Thierry Arnoux, 29-Nov-2017.)
Hypotheses
Ref Expression
r19.29af.0
r19.29af.1
r19.29af.2
Assertion
Ref Expression
r19.29af
Distinct variable group:   ,
Allowed substitution hints:   ()   ()   ()

Proof of Theorem r19.29af
StepHypRef Expression
1 r19.29af.0 . 2
2 nfv 1509 . 2
3 r19.29af.1 . 2
4 r19.29af.2 . 2
51, 2, 3, 4r19.29af2 2575 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 103  wnf 1437   wcel 1481  wrex 2418 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1424  ax-gen 1426  ax-ie1 1470  ax-ie2 1471  ax-4 1488  ax-17 1507  ax-ial 1515  ax-i5r 1516 This theorem depends on definitions:  df-bi 116  df-tru 1335  df-nf 1438  df-ral 2422  df-rex 2423 This theorem is referenced by:  r19.29an  2577  r19.29a  2578  suplocsrlem  7640  supinfneg  9417  infsupneg  9418  pw1nct  13371
 Copyright terms: Public domain W3C validator