The Hahn-Banach extension theorem is at once main pillar of functional analysis and — due to its notorious nature as consequence of the axiom of choice — prime example of a pure existential statement. By way of a general syntactic conservation result for multi-conclusion entailment relations on top of their single-conclusion counterparts, we are able to trace back the Hahn-Banach theorem to a disjunction elimination. The classical result can then be regained by semantic interpretation.
Titolo: | Der Satz von Hahn-Banach per Disjunktionselimination |
Autori: | |
Data di pubblicazione: | 2019 |
Rivista: | |
Handle: | http://hdl.handle.net/11562/1000081 |
Appare nelle tipologie: | 01.01 Articolo in Rivista |
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