Theorems · Theorem · field theory
IsSepClosed.algebraMap_surjective
∀ (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.Surjective ⇑(algebraMap k K)
- Defined in
- Mathlib.FieldTheory.IsSepClosed
- Cited by
- 2 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.
Cites30
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Polynomialproof · cited by 5,681
- Algebra.algebraMapstatement and proof · cited by 4,706
- one_mulproof · cited by 2,841
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Polynomial.coeffproof · cited by 1,045
- Polynomial.degreeproof · cited by 643
- Polynomial.aevalproof · cited by 615
Cited by2
Results whose statement or proof uses this declaration.
- IntermediateField.eq_bot_of_isSepClosed_of_isSeparableproof · cited by 1
- IsSepClosed.algebraMap_bijectiveproof · cited by 1