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Theorems · Theorem · number theory

NumberField.InfinitePlace.inertiaDeg_of_liesOver

∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L]
  (v : NumberField.InfinitePlace K) (w : NumberField.InfinitePlace L) [inst_3 : w.LiesOver v],
  v.inertiaDeg w = ⊥.inertiaDeg v.Completion
Defined in
Mathlib.NumberTheory.NumberField.Completion.Ramification
Cited by
1 results in Mathlib
Foundations
Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldAlgebraNumberField.InfinitePlace.LiesOver
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Around this declaration

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NumberField.InfinitePlace.inertiaDeg_eq_finrank · cited by 2InfinitePlace.inertiaDeg_…Algebra · cited by 11388AlgebraField · cited by 7404FieldIdeal · cited by 4748IdealBot.bot · cited by 4720Bot.botNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceNumberField.InfinitePlace.Completion · cited by 69InfinitePlace.CompletionIdeal.inertiaDeg · cited by 60Ideal.inertiaDegNumberField.InfinitePlace.LiesOver · cited by 25InfinitePlace.LiesOverNumberField.InfinitePlace.inertiaDeg · cited by 5InfinitePlace.inertiaDegInfinitePlace.inertiaDeg_of_l…CITED BYCITES

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