Theorems · Theorem · commutative algebra
Algebra.Generators.toAlgHom_ofComp_surjective
∀ {R : Type u} {S : Type v} {ι : Type w} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
{ι' : Type u_3} {T : Type u_7} [inst_3 : CommRing T] [inst_4 : Algebra R T] [inst_5 : Algebra S T]
[inst_6 : IsScalarTower R S T] (Q : Algebra.Generators S T ι') (P : Algebra.Generators R S ι),
Function.Surjective ⇑(Q.ofComp P).toAlgHom- Defined in
- Mathlib.RingTheory.Extension.Generators
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
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
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Finsuppstatement · cited by 5,255
- IsScalarTowerstatement and proof · cited by 3,896
- AlgHomstatement · cited by 3,236
- MvPolynomialproof · cited by 2,140
- map_mulproof · cited by 1,137
- map_addproof · cited by 964
- MvPolynomial.Xproof · cited by 552
- MvPolynomial.Cproof · cited by 400
- MvPolynomial.aevalproof · cited by 298
Cited by5
Results whose statement or proof uses this declaration.
- Algebra.Generators.Cotangent.exactproof · cited by 6
- Algebra.Generators.map_ofComp_kerproof · cited by 3
- Algebra.Generators.Cotangent.surjective_map_ofCompproof · cited by 3
- Algebra.Generators.comp_localizationAway_kerproof · cited by 1
- Algebra.Generators.ker_comp_eq_supproof · cited by 1