Theorems · Theorem · field theory
isSepClosure_iff
∀ {k : Type u} [inst : Field k] {K : Type v} [inst_1 : Field K] [inst_2 : Algebra k K],
IsSepClosure k K ↔ IsSepClosed K ∧ Algebra.IsSeparable k K- Defined in
- Mathlib.FieldTheory.IsSepClosed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.IsSeparablestatement and proof · cited by 210
- IsSepClosedstatement and proof · cited by 41
- IsSepClosurestatement and proof · cited by 3
- IsSepClosure.separableproof · cited by 2
- IsSepClosure.sep_closedproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.