Theorems · Theorem · field theory
Algebra.FormallyEtale.equivPiOfIsSepClosed_self_apply
∀ {K : Type u_1} [inst : Field K] [inst_1 : IsSepClosed K] (x : K) (p : PrimeSpectrum K),
(Algebra.FormallyEtale.equivPiOfIsSepClosed K K) x p = x- Defined in
- Mathlib.RingTheory.Etale.Field
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldIsSepClosed
Around this declaration
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Cites22
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
- Fieldstatement and proof · cited by 7,404
- HasQuotient.Quotientproof · cited by 2,301
- AlgEquivstatement · cited by 1,681
- PrimeSpectrumstatement and proof · cited by 625
- AlgEquiv.symmproof · cited by 615
- Ideal.Quotient.mkproof · cited by 610
- PrimeSpectrum.asIdealproof · cited by 333
- Algebra.ofIdproof · cited by 166
- MaximalSpectrumproof · cited by 73
- AlgEquiv.apply_symm_applyproof · cited by 67
- AlgEquiv.injectiveproof · cited by 61
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