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Theorems · Theorem · field theory

ConjRootClass.mem_carrier

∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] {x : L}
  {c : ConjRootClass K L}, x ∈ c.carrier ↔ ConjRootClass.mk K x = c
Defined in
Mathlib.FieldTheory.Minpoly.ConjRootClass
Cited by
2 results in Mathlib
Foundations
Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldAlgebra
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ConjRootClass.carrier_zero · cited by 0ConjRootClass.carrier_zeroConjRootClass.rootSet_minpoly_eq_carrier · cited by 0ConjRootClass.rootSet_min…Set · cited by 53352SetAlgebra · cited by 11388AlgebraField · cited by 7404FieldConjRootClass · cited by 23ConjRootClassConjRootClass.mk · cited by 13ConjRootClass.mkConjRootClass.carrier · cited by 9ConjRootClass.carrierConjRootClass.mem_carrierCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.