Theorems · Theorem · field theory
IsPRadical.isPurelyInseparable
∀ (K : Type u_1) (L : Type u_2) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] (p : ℕ) [ExpChar K p] [IsPRadical (algebraMap K L) p], IsPurelyInseparable K L
If L / K is a p-radical field extension, then it is purely inseparable.
- Defined in
- Mathlib.FieldTheory.IsPerfectClosure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Algebra.algebraMapstatement and proof · cited by 4,706
- ExpCharstatement and proof · cited by 276
- IsPurelyInseparablestatement · cited by 84
- IsPRadicalstatement and proof · cited by 34
- isPurelyInseparable_iff_pow_memproof · cited by 10
- IsPRadical.pow_memproof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.