Theorems · Theorem · field theory
AlgEquiv.isPurelyInseparable
∀ {F : Type u_1} {E : Type u_2} [inst : CommRing F] [inst_1 : Ring E] [inst_2 : Algebra F E] {K : Type u_3}
[inst_3 : Ring K] [inst_4 : Algebra F K] (e : K ≃ₐ[F] E) [IsPurelyInseparable F K], IsPurelyInseparable F ETransfer IsPurelyInseparable across an AlgEquiv.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Polynomialproof · cited by 5,681
- AlgEquivstatement and proof · cited by 1,681
- AlgEquiv.symmproof · cited by 615
- Polynomial.Separableproof · cited by 117
- IsPurelyInseparablestatement and proof · cited by 84
- IsSeparableproof · cited by 68
- minpoly.algEquiv_eqproof · cited by 13
- IsPurelyInseparable.inseparableproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- AlgEquiv.isPurelyInseparable_iffproof · cited by 0