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Clear filtersIsNonarchimedeanLocalField.le_maximalUnramified_iff
Plain-language statement
The maximal unramified subextension is maximal.
Source project: Class Field Theory
Person-level attribution pending.
IsNonarchimedeanLocalField.nonempty_unramifiedExtension_algEquiv_of_isUnramified
Plain-language statement
If L/K is unramified, then L is isomorphic to Kn where n = [L:K].
Source project: Class Field Theory
Person-level attribution pending.
IsNonarchimedeanLocalField.nonempty_unramifiedExtension_alghom_of_dvd_f
Plain-language statement
If Kn denotes the unramified extension of K of degree n, then Kn embeds into L if n ∣ f K L. This is half of the universal property.
Source project: Class Field Theory
Person-level attribution pending.