Theorems · Definition · field theory
ConjRootClass.carrier
{K : Type u_1} →
{L : Type u_2} → [inst : Field K] → [inst_1 : Field L] → [inst_2 : Algebra K L] → ConjRootClass K L → Set Lc.carrier is the set of conjugates represented by c.
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Set.preimageproof · cited by 4,946
- ConjRootClassstatement and proof · cited by 23
- ConjRootClass.mkproof · cited by 13
Cited by9
Results whose statement or proof uses this declaration.
- ConjRootClass.mem_carrierstatement · cited by 2
- ConjRootClass.aroots_minpoly_eq_carrier_valstatement and proof · cited by 1
- ConjRootClass.carrier_eq_mk_aroots_minpolystatement and proof · cited by 0
- ConjRootClass.carrier_injstatement and proof · cited by 0
- ConjRootClass.carrier_negstatement · cited by 0
- ConjRootClass.carrier_zerostatement · cited by 0
- ConjRootClass.exists_mem_carrier_add_eq_zerostatement · cited by 0
- ConjRootClass.minpoly.map_eq_prodstatement and proof · cited by 0
- ConjRootClass.rootSet_minpoly_eq_carrierstatement · cited by 0