Theorems · Theorem · field theory
IsSepClosed.algebraMap_bijective
∀ (k : Type u) [inst : Field k] (K : Type v) [inst_1 : Field K] [IsSepClosed k] [inst_3 : Algebra k K] [Algebra.IsSeparable k K], Function.Bijective ⇑(algebraMap k K)
- Defined in
- Mathlib.FieldTheory.IsSepClosed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapstatement and proof · cited by 4,706
- Function.Bijectivestatement · cited by 863
- Algebra.IsSeparablestatement and proof · cited by 210
- RingHom.injectiveproof · cited by 187
- IsSepClosedstatement and proof · cited by 41
- IsSepClosed.algebraMap_surjectiveproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.FormallyEtale.equivPiOfIsSepClosed_self_applyproof · cited by 0