Theorems · Inductive type · field theory
SubfieldClass
(S : Type u_1) → (K : Type u_2) → [DivisionRing K] → [SetLike S K] → Prop
SubfieldClass S K states S is a type of subsets s ⊆ K closed under field operations.
- Defined in
- Mathlib.Algebra.Field.Subfield.Defs
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- DivisionRingSetLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLikestatement · cited by 1,084
- DivisionRingstatement · cited by 1,062
Cited by11
Results whose statement or proof uses this declaration.
- SubfieldClass.nnratCast_memstatement and proof · cited by 2
- SubfieldClass.ratCast_memstatement and proof · cited by 2
- SubfieldClass.casesOnstatement and proof · cited by 0
- SubfieldClass.coe_nnqsmulstatement and proof · cited by 0
- SubfieldClass.coe_nnratCaststatement and proof · cited by 0
- SubfieldClass.coe_qsmulstatement and proof · cited by 0
- SubfieldClass.coe_ratCaststatement and proof · cited by 0
- SubfieldClass.nnqsmul_memstatement and proof · cited by 0
- SubfieldClass.ofScientific_memstatement and proof · cited by 0
- SubfieldClass.qsmul_memstatement and proof · cited by 0
- SubfieldClass.recOnstatement and proof · cited by 0