Theorems · Theorem · number theory

ClassGroup.normBound.congr_simp

∀ {R : Type u_1} {S : Type u_2} [inst : EuclideanDomain R] [inst_1 : CommRing S] [inst_2 : IsDomain S]
  [inst_3 : Algebra R S] (abv abv_1 : AbsoluteValue R ℤ),
  abv = abv_1 →
    ∀ {ι : Type u_5} {inst_4 : DecidableEq ι} [inst_5 : DecidableEq ι] [inst_6 : Fintype ι]
      (bS bS_1 : Module.Basis ι R S), bS = bS_1 → ClassGroup.normBound abv bS = ClassGroup.normBound abv_1 bS_1

Defined in: Mathlib.NumberTheory.ClassNumber.Finite
Cited by: 0 results in Mathlib
Foundations: Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: EuclideanDomain CommRing IsDomain Algebra DecidableEq Fintype

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CommRingstatement and proof · cited by 17,173
Algebrastatement and proof · cited by 11,388
Fintypestatement and proof · cited by 7,736
IsDomainstatement and proof · cited by 2,196
Module.Basisstatement and proof · cited by 1,477
AbsoluteValuestatement and proof · cited by 363
EuclideanDomainstatement and proof · cited by 124
ClassGroup.normBoundstatement and proof · cited by 5

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