Geodesic
A Proof of the Equivalence of Helly's and Krasnoselski's Theorems
Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 35-37

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DOI

We show that Krasnoselski's Theorem, which is usually derived from Helly's Theorem, is in fact equivalent to it. 
Borwein, J. A Proof of the Equivalence of Helly's and Krasnoselski's Theorems. Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 35-37. doi: 10.4153/CMB-1977-007-4
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     author = {Borwein, J.},
     title = {A {Proof} of the {Equivalence} of {Helly's} and {Krasnoselski's} {Theorems}},
     journal = {Canadian mathematical bulletin},
     pages = {35--37},
     year = {1977},
     volume = {20},
     number = {1},
     doi = {10.4153/CMB-1977-007-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-007-4/}
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