Theorems · Theorem · field theory
Polynomial.mapAlgHom_comp
∀ {R : Type u} {A : Type z} {B : Type u_2} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Semiring B]
[inst_3 : Algebra R A] [inst_4 : Algebra R B] (C : Type u_3) [inst_5 : Semiring C] [inst_6 : Algebra R C]
(f : B →ₐ[R] C) (g : A →ₐ[R] B),
(Polynomial.mapAlgHom f).comp (Polynomial.mapAlgHom g) = Polynomial.mapAlgHom (f.comp g)- Defined in
- Mathlib.Algebra.Polynomial.AlgebraMap
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement · cited by 5,681
- AlgHomstatement and proof · cited by 3,236
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Polynomial.coeffproof · cited by 1,045
- Polynomial.mapproof · cited by 806
- RingHomClass.toRingHomproof · cited by 746
- AlgHom.compstatement and proof · cited by 501
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