elems <- c("a", "b", "c", "d")
doms <- matrix(c(
"a", "b",
"c", "b",
"a", "d",
"a", "a",
"b", "b",
"c", "c",
"d", "d"
), ncol = 2, byrow = TRUE)
pos <- POSet(elements = elems, dom = doms)
lub<-POSetJoin(pos, c("a", "c"))
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