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ConditionallyCompletePartialOrder Expand file tree Collapse file tree Original file line number Diff line number Diff line change @@ -29,7 +29,7 @@ If `α` is moreover a distributive lattice:
2929 elements.
3030* `OrderEmbedding.birkhoffSet`, `OrderEmbedding.birkhoffFinset`: Order embedding of `α` into the
3131 powerset lattice of its irreducible elements.
32- * `LatticeHom.birkhoffSet`, `LatticeHom.birkhoffFinet `: Same as the previous two, but bundled as
32+ * `LatticeHom.birkhoffSet`, `LatticeHom.birkhoffFinset `: Same as the previous two, but bundled as
3333 an injective lattice homomorphism.
3434* `exists_birkhoff_representation`: `α` embeds into some powerset algebra. You should prefer using
3535 this over the explicit Birkhoff embedding because the Birkhoff embedding is littered with
Original file line number Diff line number Diff line change @@ -63,7 +63,7 @@ class ConditionallyCompletePartialOrderSup (α : Type*)
6363 isLUB_csSup_of_directed :
6464 ∀ s, DirectedOn (· ≤ ·) s → s.Nonempty → BddAbove s → IsLUB s (sSup s)
6565
66- /-- Conditionally complete partial orders (with suprema and infimae ) are partial orders
66+ /-- Conditionally complete partial orders (with suprema and infima ) are partial orders
6767where every nonempty, directed set which is bounded above (respectively, below) has a
6868least upper (respectively, greatest lower) bound. -/
6969class ConditionallyCompletePartialOrder (α : Type *)
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