Theorems · Theorem · number theory
IsCyclotomicExtension.eq_self_sdiff_zero
∀ (S : Set ℕ) (A : Type u) (B : Type v) [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : Algebra A B],
IsCyclotomicExtension S A B = IsCyclotomicExtension (S \ {0}) A B- Defined in
- Mathlib.NumberTheory.Cyclotomic.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Set.ofPredproof · cited by 6,101
- Algebra.adjoinproof · cited by 535
- IsPrimitiveRootproof · cited by 356
- IsCyclotomicExtensionstatement · cited by 220
Cited by5
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.iff_union_singleton_oneproof · cited by 2
- IsCyclotomicExtension.singleton_one_of_bot_eq_topproof · cited by 1
- IsCyclotomicExtension.finiteproof · cited by 1
- IsCyclotomicExtension.union_of_isPrimitiveRootproof · cited by 1
- IsCyclotomicExtension.isCyclotomicExtension_zero_iffproof · cited by 0