Theorems · Definition · field theory

IsSepClosure.equiv

(K : Type u) →
  [inst : Field K] →
    (L : Type v) →
      (M : Type w) →
        [inst_1 : Field L] →
          [inst_2 : Field M] →
            [inst_3 : Algebra K M] → [IsSepClosure K M] → [inst_5 : Algebra K L] → [IsSepClosure K L] → L ≃ₐ[K] M

A (random) isomorphism between two separable closures of K.

Defined in: Mathlib.FieldTheory.IsSepClosed
Cited by: 0 results in Mathlib
Foundations: Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field Field Field Algebra IsSepClosure Algebra IsSepClosure

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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
AlgEquivstatement · cited by 1,681
AlgEquiv.ofBijectiveproof · cited by 34
IsSepClosurestatement and proof · cited by 3
IsSepClosed.liftproof · cited by 3

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