Equivalence Relations

  • dunli
    • Insists that it is not simsa
    • Could be the gismu version of du, somehow
    • Could be entailed by zmadu + mleca
    • Could entail both zmadu and mleca
  • mintu
    • Comes with several axioms which we can take for now
      • x du y <=> x mintu y pa ka ce'u du ce'u
        • ...might have misunderstood, might be: pa ka ce'u du
        • "no standards place"
    • Might generalize to equivalence relations
      • Given equiv broda, x broda y <=> x mintu y pa ka broda
    • Shows up in gismu.txt!
      • x lazmi'u y <=> x mintu y pa ka ce'u cmima da poi lanzu
      • Note: lanzu1 is therefore set, not mass!
      • This is unary {ka}; I would have used {simsa} instead of {mintu}
        • Maybe {mintu} is the right choice for binary {ka}?
  • mapti
    • Still no real confidence in what's going on, mapti3 usually omitted
    • Best guess: bijection!
      • x mapti y pa ka ce'u broda ce'u <=> x broda y, also broda is a bijection
    • Suggests that lots of casual usage of mapti should actually be ckini
      • Because x mapti y z => x ckini y z
    • Similarly, la xorxes' definition of mapti implies ^^