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Theorems · Theorem · field theory

IsNormalClosure.normal

∀ {F : Type u_1} {K : Type u_2} {L : Type u_3} [inst : Field F] [inst_1 : Field K] [inst_2 : Field L]
  [inst_3 : Algebra F K] [inst_4 : Algebra F L] [h : IsNormalClosure F K L], Normal F L

A normal closure is always normal.

Defined in
Mathlib.FieldTheory.Normal.Closure
Cited by
0 results in Mathlib
Foundations
Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldFieldAlgebraAlgebraIsNormalClosure
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Around this declaration

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

IsNormalClosure.equiv · cited by 0IsNormalClosure.equivAlgebra · cited by 11388AlgebraField · cited by 7404FieldNormal · cited by 92NormalIntermediateField.topEquiv · cited by 24IntermediateField.topEquivIsNormalClosure · cited by 5IsNormalClosureNormal.of_algEquiv · cited by 4Normal.of_algEquivIsNormalClosure.normalCITED BYCITES

Cites6

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

Cited by1

Results whose statement or proof uses this declaration.