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

Theorem sopo 4041
Description: A strict linear order is a strict partial order. (Contributed by NM, 28-Mar-1997.)
Ref Expression
sopo  R  Or  R  Po

Proof of Theorem sopo
Dummy variables are mutually distinct and distinct from all other variables.
StepHypRef Expression
1 df-iso 4025 . 2  R  Or  R  Po  R  R  R
21simplbi 259 1  R  Or  R  Po
Colors of variables: wff set class
Syntax hints:   wi 4   wo 628  wral 2300   class class class wbr 3755    Po wpo 4022    Or wor 4023
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99
This theorem depends on definitions:  df-bi 110  df-iso 4025
This theorem is referenced by:  sonr  4045  sotr  4046  so2nr  4049  so3nr  4050  sosng  4356
  Copyright terms: Public domain W3C validator