Theorems · Theorem · field theory
PerfectRing.toPerfectField
∀ (K : Type u_1) (p : ℕ) [inst : Field K] [ExpChar K p] [PerfectRing K p], PerfectField K
- Defined in
- Mathlib.FieldTheory.Perfect
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldExpCharPerfectRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Polynomialproof · cited by 5,681
- Nat.Primeproof · cited by 2,059
- CharZeroproof · cited by 932
- Irreducibleproof · cited by 496
- CharPproof · cited by 478
- ExpCharstatement and proof · cited by 276
- PerfectRingstatement and proof · cited by 154
- Polynomial.Separableproof · cited by 117
- Polynomial.expandproof · cited by 90
- PerfectFieldstatement · cited by 36
Cited by2
Results whose statement or proof uses this declaration.
- perfectField_of_perfectClosure_eq_botproof · cited by 1
- perfectField_iff_splits_of_natSepDegree_eq_oneproof · cited by 1