Set Theory INC_{∞^{#}}^{#} Based on Infinitary Intuitionistic Logic with Restricted Modus Ponens Rule (Part III).Hyper inductive definitions. Application in transcendental number theory.

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Abstract
Main results are: (i) number e^{e} is transcendental; (ii) the both numbers e+π and e-π are irrational.
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First archival date: 2021-08-15
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