Theorems · Theorem · ring theory
IsScalarTower.coe_toAlgHom
∀ (R : Type u_1) (S : Type u_2) (A : Type u_3) [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : Semiring A] [inst_3 : Algebra R S] [inst_4 : Algebra S A] [inst_5 : Algebra R A] [inst_6 : IsScalarTower R S A], ↑(IsScalarTower.toAlgHom R S A) = algebraMap S A
- Defined in
- Mathlib.Algebra.Algebra.Hom
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses 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.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement · cited by 4,706
- IsScalarTowerstatement and proof · cited by 3,896
- AlgHomstatement · cited by 3,236
- RingHomClass.toRingHomstatement · cited by 746
- RingHom.extproof · cited by 331
- IsScalarTower.toAlgHomstatement · cited by 232
Cited by10
Results whose statement or proof uses this declaration.
- RingHom.Flat.mapOfCompatibleSMulproof · cited by 1
- Algebra.WeaklyQuasiFiniteAt.of_quasiFiniteAt_residueFieldproof · cited by 1
- Algebra.adjoin_res_eq_adjoin_resproof · cited by 0
- MvPolynomial.mapEquivMonic_symm_map_algebraMapproof · cited by 0
- Algebra.QuasiFiniteAt.of_leproof · cited by 0
- IsGaloisGroup.of_isScalarTowerproof · cited by 0
- PrimeSpectrum.isHomeomorph_comap_tensorProductMap_of_isPurelyInseparableproof · cited by 0