Theorems · Theorem · number theory

MulChar.subgroupOrderIsoSubgroupMulChar.congr_simp

∀ (M : Type u_1) (R : Type u_2) [inst : CommMonoid M] [inst_1 : CommRing R] [inst_2 : Finite M]
  [inst_3 : HasEnoughRootsOfUnity R (Monoid.exponent Mˣ)],
  MulChar.subgroupOrderIsoSubgroupMulChar M R = MulChar.subgroupOrderIsoSubgroupMulChar M R

Defined in: Mathlib.NumberTheory.NumberField.Cyclotomic.Galois
Cited by: 0 results in Mathlib
Foundations: Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommMonoid CommRing Finite HasEnoughRootsOfUnity

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CommRingstatement and proof · cited by 17,173
Subgroupstatement · cited by 3,593
Finitestatement and proof · cited by 3,029
Unitsstatement and proof · cited by 2,804
CommMonoidstatement and proof · cited by 2,264
OrderDualstatement · cited by 927
OrderIsostatement · cited by 874
MulCharstatement · cited by 186
Monoid.exponentstatement and proof · cited by 128
HasEnoughRootsOfUnitystatement and proof · cited by 56
MulChar.subgroupOrderIsoSubgroupMulCharstatement and proof · cited by 6

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