Theorems · Theorem · field theory

IsGaloisGroup.fixedPoints_le_of_le

∀ (G : Type u_1) (K : Type u_3) (L : Type u_4) [inst : Group G] [inst_1 : Field K] [inst_2 : Field L]
  [inst_3 : Algebra K L] [inst_4 : MulSemiringAction G L] (H H' : Subgroup G) [inst_5 : SMulCommClass G K L],
  H ≤ H' → FixedPoints.intermediateField ↥H' ≤ FixedPoints.intermediateField ↥H

Defined in: Mathlib.FieldTheory.Galois.IsGaloisGroup
Cited by: 0 results in Mathlib
Foundations: Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group Field Field Algebra MulSemiringAction SMulCommClass

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Algebrastatement and proof · cited by 11,388
Fieldstatement and proof · cited by 7,404
Groupstatement and proof · cited by 6,238
Subgroupstatement and proof · cited by 3,593
SMulCommClassstatement and proof · cited by 1,927
IntermediateFieldstatement · cited by 988
MulSemiringActionstatement and proof · cited by 423
FixedPoints.intermediateFieldstatement and proof · cited by 18

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