Theorems · Theorem · field theory

Algebra.IsAlgebraic.algEquivEquivAlgHom_apply

∀ (K : Type u_1) (L : Type u_2) [inst : CommRing K] [inst_1 : IsDomain K] [inst_2 : Field L] [inst_3 : Algebra K L]
  [inst_4 : Module.IsTorsionFree K L] [inst_5 : Algebra.IsAlgebraic K L] (ϕ : L ≃ₐ[K] L),
  (Algebra.IsAlgebraic.algEquivEquivAlgHom K L) ϕ = ↑ϕ

Defined in: Mathlib.RingTheory.Algebraic.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing IsDomain Field Algebra Module.IsTorsionFree Algebra.IsAlgebraic

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

DFunLike.coestatement and proof · cited by 62,936
CommRingstatement and proof · cited by 17,173
Algebrastatement and proof · cited by 11,388
Fieldstatement and proof · cited by 7,404
AlgHomstatement · cited by 3,236
IsDomainstatement and proof · cited by 2,196
AlgEquivstatement and proof · cited by 1,681
MulEquivstatement · cited by 1,142
Module.IsTorsionFreestatement and proof · cited by 600
Algebra.IsAlgebraicstatement and proof · cited by 322
AlgEquiv.toAlgHomstatement · cited by 273
Algebra.IsAlgebraic.algEquivEquivAlgHomstatement and proof · cited by 5

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