The equivalence relation -- congruence

  • $x = x$ \zline{reflexivity}
  • $x = y => y = x$ \zline{symmetry}
  • $x = y /\ y = z => x = z$ \zline{transitivity}
  • $x = y => f(...,x,...) = f(...,y,...)$

Equivalence classes -- representatives

  • abstract elements -- $GU_T /= $

slide: Equivalence