Theorems · Theorem · number theory

NumberField.InfinitePlace.mult_mul_finrank

∀ {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.mult * Module.finrank v.Completion w.Completion = w.mult

Defined in: Mathlib.NumberTheory.NumberField.Completion.Ramification
Cited by: 0 results in Mathlib
Foundations: Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field Field Algebra NumberField.InfinitePlace.LiesOver

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Algebrastatement and proof · cited by 11,388
Fieldstatement and proof · cited by 7,404
Algebra.algebraMapproof · cited by 4,706
mul_oneproof · cited by 3,885
one_mulproof · cited by 2,841
Module.finrankstatement · cited by 1,770
NumberField.InfinitePlacestatement and proof · cited by 604
NumberField.InfinitePlace.multstatement and proof · cited by 107
NumberField.InfinitePlace.Completionstatement · cited by 69
NumberField.InfinitePlace.comapproof · cited by 55
NumberField.InfinitePlace.IsUnramifiedproof · cited by 35
NumberField.InfinitePlace.LiesOverstatement and proof · cited by 25

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