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Theorems · Theorem · field theory

IntermediateField.map_mono

∀ {K : Type u_1} {L : Type u_2} {L' : Type u_3} [inst : Field K] [inst_1 : Field L] [inst_2 : Field L']
  [inst_3 : Algebra K L] [inst_4 : Algebra K L'] (f : L →ₐ[K] L') {S T : IntermediateField K L},
  S ≤ T → IntermediateField.map f S ≤ IntermediateField.map f T
Defined in
Mathlib.FieldTheory.IntermediateField.Basic
Cited by
1 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldFieldAlgebraAlgebra
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Around this declaration

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

IntermediateField.normalClosure_mono · cited by 1IntermediateField.normalC…Algebra · cited by 11388AlgebraField · cited by 7404FieldAlgHom · cited by 3236AlgHomIntermediateField · cited by 988IntermediateFieldSet.image_mono · cited by 197Set.image_monoIntermediateField.map · cited by 62IntermediateField.mapSetLike.coe_mono · cited by 18SetLike.coe_monoIntermediateField.map_monoCITED BYCITES

Cites7

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Cited by1

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