Theorems · Theorem · field theory
IntermediateField.fieldRange_val
∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] (S : IntermediateField K L),
S.val.fieldRange = S- Cited by
- 9 results in Mathlib
- Foundations
- Depth 62 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.
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- IntermediateFieldstatement and proof · cited by 988
- SetLike.ext'proof · cited by 60
- AlgHom.fieldRangestatement · cited by 57
- IntermediateField.valstatement · cited by 42
- Subtype.range_valproof · cited by 41
Cited by9
Results whose statement or proof uses this declaration.
- IntermediateField.le_normalClosureproof · cited by 8
- IntermediateField.lift_topproof · cited by 6
- Algebra.FormallyEtale.of_isSeparableproof · cited by 3
- AlgHom.fieldRange_of_normalproof · cited by 2
- IntermediateField.essFiniteType_iffproof · cited by 1
- IntermediateField.finrank_eq_fixingSubgroup_indexproof · cited by 1
- IntermediateField.normal_iff_forall_map_eqproof · cited by 1
- IsIntegral.mem_intermediateField_of_minpoly_splitsproof · cited by 0
- IntermediateField.normalClosure_le_iff_of_normalproof · cited by 0