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What (who) is keeled lemma - definition
SPECIES OF REPTILE
Keeled Earless Lizard; Keeled earless lizard
![Keeled earless lizard (''Holbrookia propinqua'') male, [[Padre Island National Seashore]], Kleberg Co. TX; 2 Nov 2022](https://commons.wikimedia.org/wiki/Special:FilePath/Holbrookia propinqua, male, Padre Island National Seashore, Kleberg Co. TX; 2 Nov 2022.jpg?width=200 "Keeled earless lizard (''Holbrookia propinqua'') male, [[Padre Island National Seashore]], Kleberg Co. TX; 2 Nov 2022")
Teichmüller–Tukey lemma
THEOREM
Teichmueller-Tukey lemma; Tukey's lemma; Teichmüller-Tukey lemma; Teichmuller–Tukey lemma; Teichmuller-Tukey lemma; Tukey lemma
In mathematics, the Teichmüller–Tukey lemma (sometimes named just Tukey's lemma), named after John Tukey and Oswald Teichmüller, is a lemma that states that every nonempty collection of finite character has a maximal element with respect to inclusion. Over Zermelo–Fraenkel set theory, the Teichmüller–Tukey lemma is equivalent to the axiom of choice, and therefore to the well-ordering theorem, Zorn's lemma, and the Hausdorff maximal principle.
Nine lemma
CATEGORY THEORY LEMMA ABOUT COMMUTATIVE DIAGRAMS
9-lemma
[mathematics], the nine lemma (or 3×3 lemma) is a statement about [[commutative diagrams and exact sequences valid in the category of groups and any abelian category. It states: if the diagram to the right is a commutative diagram and all columns as well as the two bottom rows are exact, then the top row is exact as well.
Zorn's lemma
STATEMENT EQUIVALENT TO THE AXIOM OF CHOICE, ABOUT THE EXISTENCE OF A MAXIMAL ELEMENT IN A POSET WITH A MAXIMAL CHAIN CONDITION
Zorn Lemma; Kuratowski-Zorn lemma; Zorn's Lemma; Zorn lemma; Zorns lemma; Kuratowski–Zorn lemma
Zorn's lemma, also known as the Kuratowski–Zorn lemma, is a proposition of set theory. It states that a partially ordered set containing upper bounds for every chain (that is, every totally ordered subset) necessarily contains at least one maximal element.
Wikipedia
Holbrookia propinqua
Holbrookia propinqua (keeled earless lizard) is a species of phrynosomatid lizard.
