Concerning a proof of $\aleph_{\alpha+1}\leq 2^{\aleph_\alpha}$ without axiom of choice
Commentationes Mathematicae Universitatis Carolinae, Tome 6 (1965) no. 1, pp. 111-113 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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     author = {Vop\v{e}nka, Petr},
     title = {Concerning a proof of $\aleph_{\alpha+1}\leq 2^{\aleph_\alpha}$ without axiom of choice},
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Vopěnka, Petr. Concerning a proof of $\aleph_{\alpha+1}\leq 2^{\aleph_\alpha}$ without axiom of choice. Commentationes Mathematicae Universitatis Carolinae, Tome 6 (1965) no. 1, pp. 111-113. http://geodesic.mathdoc.fr/item/CMUC_1965_6_1_a12/

[1] K. GÖDEL: The consistency of the axiom of choice and of the generalized continuum hypothesis with the axioms of set theory. Annals of Math. Studies 3, Princeton 1940. | MR

[2] A. LÉVY: A generalization of Gödel's notion of constructibility. The Journ. of Symb. Log. 25 (1960), No 2. | MR | Zbl